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Finding the Third Proportional to 171,472 and 366,586

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Solution

The third proportional to 171,472 and 366,586 is: 783,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,472 : 366,586 = 366,586 : x
  2. Step 2: Convert to fraction form
    171,472/366,586 = 366,586/x
  3. Step 3: Cross multiply
    171,472x = 366,586 × 366,586
  4. Step 4: Simplify right side
    171,472x = 134,385,295,396
  5. Step 5: Solve for x
    x = 134,385,295,396/171,472
  6. Step 6: Final answer
    x = 783,715.68

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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.