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Finding the Third Proportional to 227,472 and 344,340

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Solution

The third proportional to 227,472 and 344,340 is: 521,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,472 : 344,340 = 344,340 : x
  2. Step 2: Convert to fraction form
    227,472/344,340 = 344,340/x
  3. Step 3: Cross multiply
    227,472x = 344,340 × 344,340
  4. Step 4: Simplify right side
    227,472x = 118,570,035,600
  5. Step 5: Solve for x
    x = 118,570,035,600/227,472
  6. Step 6: Final answer
    x = 521,251.12

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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.