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Finding the Third Proportional to 151,342 and 227,371

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Solution

The third proportional to 151,342 and 227,371 is: 341,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,342 : 227,371 = 227,371 : x
  2. Step 2: Convert to fraction form
    151,342/227,371 = 227,371/x
  3. Step 3: Cross multiply
    151,342x = 227,371 × 227,371
  4. Step 4: Simplify right side
    151,342x = 51,697,571,641
  5. Step 5: Solve for x
    x = 51,697,571,641/151,342
  6. Step 6: Final answer
    x = 341,594.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.