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Finding the Third Proportional to 160,776 and 244,908

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Solution

The third proportional to 160,776 and 244,908 is: 373,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,776 : 244,908 = 244,908 : x
  2. Step 2: Convert to fraction form
    160,776/244,908 = 244,908/x
  3. Step 3: Cross multiply
    160,776x = 244,908 × 244,908
  4. Step 4: Simplify right side
    160,776x = 59,979,928,464
  5. Step 5: Solve for x
    x = 59,979,928,464/160,776
  6. Step 6: Final answer
    x = 373,065.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.