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Finding the Third Proportional to 229,434.75 and 336,376.13

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Solution

The third proportional to 229,434.75 and 336,376.13 is: 493,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,434.75 : 336,376.13 = 336,376.13 : x
  2. Step 2: Convert to fraction form
    229,434.75/336,376.13 = 336,376.13/x
  3. Step 3: Cross multiply
    229,434.75x = 336,376.13 × 336,376.13
  4. Step 4: Simplify right side
    229,434.75x = 113,148,897,470.02
  5. Step 5: Solve for x
    x = 113,148,897,470.02/229,434.75
  6. Step 6: Final answer
    x = 493,163.73

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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.