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Finding the Third Proportional to 161,387 and 344,737

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Solution

The third proportional to 161,387 and 344,737 is: 736,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,387 : 344,737 = 344,737 : x
  2. Step 2: Convert to fraction form
    161,387/344,737 = 344,737/x
  3. Step 3: Cross multiply
    161,387x = 344,737 × 344,737
  4. Step 4: Simplify right side
    161,387x = 118,843,599,169
  5. Step 5: Solve for x
    x = 118,843,599,169/161,387
  6. Step 6: Final answer
    x = 736,388.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.