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Finding the Third Proportional to 160,248.38 and 237,902.06

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Solution

The third proportional to 160,248.38 and 237,902.06 is: 353,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,248.38 : 237,902.06 = 237,902.06 : x
  2. Step 2: Convert to fraction form
    160,248.38/237,902.06 = 237,902.06/x
  3. Step 3: Cross multiply
    160,248.38x = 237,902.06 × 237,902.06
  4. Step 4: Simplify right side
    160,248.38x = 56,597,391,341.75
  5. Step 5: Solve for x
    x = 56,597,391,341.75/160,248.38
  6. Step 6: Final answer
    x = 353,185.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.