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Finding the Third Proportional to 160,496 and 347,776

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Solution

The third proportional to 160,496 and 347,776 is: 753,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,496 : 347,776 = 347,776 : x
  2. Step 2: Convert to fraction form
    160,496/347,776 = 347,776/x
  3. Step 3: Cross multiply
    160,496x = 347,776 × 347,776
  4. Step 4: Simplify right side
    160,496x = 120,948,146,176
  5. Step 5: Solve for x
    x = 120,948,146,176/160,496
  6. Step 6: Final answer
    x = 753,589.79

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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.