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Finding the Third Proportional to 231,061.50 and 500,031

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Solution

The third proportional to 231,061.50 and 500,031 is: 1,082,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,061.50 : 500,031 = 500,031 : x
  2. Step 2: Convert to fraction form
    231,061.50/500,031 = 500,031/x
  3. Step 3: Cross multiply
    231,061.50x = 500,031 × 500,031
  4. Step 4: Simplify right side
    231,061.50x = 250,031,000,961
  5. Step 5: Solve for x
    x = 250,031,000,961/231,061.50
  6. Step 6: Final answer
    x = 1,082,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.