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Finding the Third Proportional to 156,073.50 and 331,587

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Solution

The third proportional to 156,073.50 and 331,587 is: 704,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,073.50 : 331,587 = 331,587 : x
  2. Step 2: Convert to fraction form
    156,073.50/331,587 = 331,587/x
  3. Step 3: Cross multiply
    156,073.50x = 331,587 × 331,587
  4. Step 4: Simplify right side
    156,073.50x = 109,949,938,569
  5. Step 5: Solve for x
    x = 109,949,938,569/156,073.50
  6. Step 6: Final answer
    x = 704,475.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.