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Finding the Third Proportional to 161,586 and 352,548

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Solution

The third proportional to 161,586 and 352,548 is: 769,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,586 : 352,548 = 352,548 : x
  2. Step 2: Convert to fraction form
    161,586/352,548 = 352,548/x
  3. Step 3: Cross multiply
    161,586x = 352,548 × 352,548
  4. Step 4: Simplify right side
    161,586x = 124,290,092,304
  5. Step 5: Solve for x
    x = 124,290,092,304/161,586
  6. Step 6: Final answer
    x = 769,188.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.