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Finding the Third Proportional to 240,423 and 341,733

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Solution

The third proportional to 240,423 and 341,733 is: 485,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,423 : 341,733 = 341,733 : x
  2. Step 2: Convert to fraction form
    240,423/341,733 = 341,733/x
  3. Step 3: Cross multiply
    240,423x = 341,733 × 341,733
  4. Step 4: Simplify right side
    240,423x = 116,781,443,289
  5. Step 5: Solve for x
    x = 116,781,443,289/240,423
  6. Step 6: Final answer
    x = 485,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.