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Finding the Third Proportional to 156,782 and 343,587

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Solution

The third proportional to 156,782 and 343,587 is: 752,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 343,587 = 343,587 : x
  2. Step 2: Convert to fraction form
    156,782/343,587 = 343,587/x
  3. Step 3: Cross multiply
    156,782x = 343,587 × 343,587
  4. Step 4: Simplify right side
    156,782x = 118,052,026,569
  5. Step 5: Solve for x
    x = 118,052,026,569/156,782
  6. Step 6: Final answer
    x = 752,969.26

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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.