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Finding the Third Proportional to 181,586 and 358,523

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Solution

The third proportional to 181,586 and 358,523 is: 707,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,586 : 358,523 = 358,523 : x
  2. Step 2: Convert to fraction form
    181,586/358,523 = 358,523/x
  3. Step 3: Cross multiply
    181,586x = 358,523 × 358,523
  4. Step 4: Simplify right side
    181,586x = 128,538,741,529
  5. Step 5: Solve for x
    x = 128,538,741,529/181,586
  6. Step 6: Final answer
    x = 707,867.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.