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Finding the Third Proportional to 142,945.38 and 304,379

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Solution

The third proportional to 142,945.38 and 304,379 is: 648,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,945.38 : 304,379 = 304,379 : x
  2. Step 2: Convert to fraction form
    142,945.38/304,379 = 304,379/x
  3. Step 3: Cross multiply
    142,945.38x = 304,379 × 304,379
  4. Step 4: Simplify right side
    142,945.38x = 92,646,575,641
  5. Step 5: Solve for x
    x = 92,646,575,641/142,945.38
  6. Step 6: Final answer
    x = 648,125.73

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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.