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Finding the Third Proportional to 156,627 and 341,487

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Solution

The third proportional to 156,627 and 341,487 is: 744,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,627 : 341,487 = 341,487 : x
  2. Step 2: Convert to fraction form
    156,627/341,487 = 341,487/x
  3. Step 3: Cross multiply
    156,627x = 341,487 × 341,487
  4. Step 4: Simplify right side
    156,627x = 116,613,371,169
  5. Step 5: Solve for x
    x = 116,613,371,169/156,627
  6. Step 6: Final answer
    x = 744,529.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.