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Finding the Third Proportional to 229,664 and 337,932

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Solution

The third proportional to 229,664 and 337,932 is: 497,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,664 : 337,932 = 337,932 : x
  2. Step 2: Convert to fraction form
    229,664/337,932 = 337,932/x
  3. Step 3: Cross multiply
    229,664x = 337,932 × 337,932
  4. Step 4: Simplify right side
    229,664x = 114,198,036,624
  5. Step 5: Solve for x
    x = 114,198,036,624/229,664
  6. Step 6: Final answer
    x = 497,239.60

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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.