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Finding the Third Proportional to 229,552.88 and 322,691.06

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Solution

The third proportional to 229,552.88 and 322,691.06 is: 453,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,552.88 : 322,691.06 = 322,691.06 : x
  2. Step 2: Convert to fraction form
    229,552.88/322,691.06 = 322,691.06/x
  3. Step 3: Cross multiply
    229,552.88x = 322,691.06 × 322,691.06
  4. Step 4: Simplify right side
    229,552.88x = 104,129,521,817.38
  5. Step 5: Solve for x
    x = 104,129,521,817.38/229,552.88
  6. Step 6: Final answer
    x = 453,618.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.