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Finding the Third Proportional to 227,502 and 344,385

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Solution

The third proportional to 227,502 and 344,385 is: 521,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,502 : 344,385 = 344,385 : x
  2. Step 2: Convert to fraction form
    227,502/344,385 = 344,385/x
  3. Step 3: Cross multiply
    227,502x = 344,385 × 344,385
  4. Step 4: Simplify right side
    227,502x = 118,601,028,225
  5. Step 5: Solve for x
    x = 118,601,028,225/227,502
  6. Step 6: Final answer
    x = 521,318.62

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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.