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Finding the Third Proportional to 229,776 and 336,654

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Solution

The third proportional to 229,776 and 336,654 is: 493,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,776 : 336,654 = 336,654 : x
  2. Step 2: Convert to fraction form
    229,776/336,654 = 336,654/x
  3. Step 3: Cross multiply
    229,776x = 336,654 × 336,654
  4. Step 4: Simplify right side
    229,776x = 113,335,915,716
  5. Step 5: Solve for x
    x = 113,335,915,716/229,776
  6. Step 6: Final answer
    x = 493,245.23

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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.