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Finding the Third Proportional to 227,332 and 344,157

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Solution

The third proportional to 227,332 and 344,157 is: 521,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,332 : 344,157 = 344,157 : x
  2. Step 2: Convert to fraction form
    227,332/344,157 = 344,157/x
  3. Step 3: Cross multiply
    227,332x = 344,157 × 344,157
  4. Step 4: Simplify right side
    227,332x = 118,444,040,649
  5. Step 5: Solve for x
    x = 118,444,040,649/227,332
  6. Step 6: Final answer
    x = 521,017.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.