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Finding the Third Proportional to 229,654 and 337,677

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Solution

The third proportional to 229,654 and 337,677 is: 496,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,654 : 337,677 = 337,677 : x
  2. Step 2: Convert to fraction form
    229,654/337,677 = 337,677/x
  3. Step 3: Cross multiply
    229,654x = 337,677 × 337,677
  4. Step 4: Simplify right side
    229,654x = 114,025,756,329
  5. Step 5: Solve for x
    x = 114,025,756,329/229,654
  6. Step 6: Final answer
    x = 496,511.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.