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Finding the Third Proportional to 156,711 and 333,651

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Solution

The third proportional to 156,711 and 333,651 is: 710,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,711 : 333,651 = 333,651 : x
  2. Step 2: Convert to fraction form
    156,711/333,651 = 333,651/x
  3. Step 3: Cross multiply
    156,711x = 333,651 × 333,651
  4. Step 4: Simplify right side
    156,711x = 111,322,989,801
  5. Step 5: Solve for x
    x = 111,322,989,801/156,711
  6. Step 6: Final answer
    x = 710,371.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.