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Finding the Third Proportional to 191,920.50 and 446,159.25

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Solution

The third proportional to 191,920.50 and 446,159.25 is: 1,037,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,920.50 : 446,159.25 = 446,159.25 : x
  2. Step 2: Convert to fraction form
    191,920.50/446,159.25 = 446,159.25/x
  3. Step 3: Cross multiply
    191,920.50x = 446,159.25 × 446,159.25
  4. Step 4: Simplify right side
    191,920.50x = 199,058,076,360.56
  5. Step 5: Solve for x
    x = 199,058,076,360.56/191,920.50
  6. Step 6: Final answer
    x = 1,037,190.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.