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Finding the Third Proportional to 231,076 and 500,060

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Solution

The third proportional to 231,076 and 500,060 is: 1,082,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,076 : 500,060 = 500,060 : x
  2. Step 2: Convert to fraction form
    231,076/500,060 = 500,060/x
  3. Step 3: Cross multiply
    231,076x = 500,060 × 500,060
  4. Step 4: Simplify right side
    231,076x = 250,060,003,600
  5. Step 5: Solve for x
    x = 250,060,003,600/231,076
  6. Step 6: Final answer
    x = 1,082,154.80

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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.