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Finding the Third Proportional to 231,324 and 337,140

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Solution

The third proportional to 231,324 and 337,140 is: 491,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,324 : 337,140 = 337,140 : x
  2. Step 2: Convert to fraction form
    231,324/337,140 = 337,140/x
  3. Step 3: Cross multiply
    231,324x = 337,140 × 337,140
  4. Step 4: Simplify right side
    231,324x = 113,663,379,600
  5. Step 5: Solve for x
    x = 113,663,379,600/231,324
  6. Step 6: Final answer
    x = 491,360.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.