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Finding the Third Proportional to 147,058.50 and 322,152

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Solution

The third proportional to 147,058.50 and 322,152 is: 705,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,058.50 : 322,152 = 322,152 : x
  2. Step 2: Convert to fraction form
    147,058.50/322,152 = 322,152/x
  3. Step 3: Cross multiply
    147,058.50x = 322,152 × 322,152
  4. Step 4: Simplify right side
    147,058.50x = 103,781,911,104
  5. Step 5: Solve for x
    x = 103,781,911,104/147,058.50
  6. Step 6: Final answer
    x = 705,718.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.