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Finding the Third Proportional to 156,712 and 344,524

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Solution

The third proportional to 156,712 and 344,524 is: 757,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,712 : 344,524 = 344,524 : x
  2. Step 2: Convert to fraction form
    156,712/344,524 = 344,524/x
  3. Step 3: Cross multiply
    156,712x = 344,524 × 344,524
  4. Step 4: Simplify right side
    156,712x = 118,696,786,576
  5. Step 5: Solve for x
    x = 118,696,786,576/156,712
  6. Step 6: Final answer
    x = 757,419.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.