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Finding the Third Proportional to 142,949 and 304,385

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Solution

The third proportional to 142,949 and 304,385 is: 648,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,949 : 304,385 = 304,385 : x
  2. Step 2: Convert to fraction form
    142,949/304,385 = 304,385/x
  3. Step 3: Cross multiply
    142,949x = 304,385 × 304,385
  4. Step 4: Simplify right side
    142,949x = 92,650,228,225
  5. Step 5: Solve for x
    x = 92,650,228,225/142,949
  6. Step 6: Final answer
    x = 648,134.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.