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Finding the Third Proportional to 181,292 and 392,715

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Solution

The third proportional to 181,292 and 392,715 is: 850,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,292 : 392,715 = 392,715 : x
  2. Step 2: Convert to fraction form
    181,292/392,715 = 392,715/x
  3. Step 3: Cross multiply
    181,292x = 392,715 × 392,715
  4. Step 4: Simplify right side
    181,292x = 154,225,071,225
  5. Step 5: Solve for x
    x = 154,225,071,225/181,292
  6. Step 6: Final answer
    x = 850,699.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.