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Finding the Third Proportional to 141,481 and 304,031

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Solution

The third proportional to 141,481 and 304,031 is: 653,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,481 : 304,031 = 304,031 : x
  2. Step 2: Convert to fraction form
    141,481/304,031 = 304,031/x
  3. Step 3: Cross multiply
    141,481x = 304,031 × 304,031
  4. Step 4: Simplify right side
    141,481x = 92,434,848,961
  5. Step 5: Solve for x
    x = 92,434,848,961/141,481
  6. Step 6: Final answer
    x = 653,337.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.