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Finding the Third Proportional to 150,675.19 and 233,454.66

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Solution

The third proportional to 150,675.19 and 233,454.66 is: 361,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,675.19 : 233,454.66 = 233,454.66 : x
  2. Step 2: Convert to fraction form
    150,675.19/233,454.66 = 233,454.66/x
  3. Step 3: Cross multiply
    150,675.19x = 233,454.66 × 233,454.66
  4. Step 4: Simplify right side
    150,675.19x = 54,501,076,524.81
  5. Step 5: Solve for x
    x = 54,501,076,524.81/150,675.19
  6. Step 6: Final answer
    x = 361,712.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.