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Finding the Third Proportional to 151,371 and 234,382

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Solution

The third proportional to 151,371 and 234,382 is: 362,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,371 : 234,382 = 234,382 : x
  2. Step 2: Convert to fraction form
    151,371/234,382 = 234,382/x
  3. Step 3: Cross multiply
    151,371x = 234,382 × 234,382
  4. Step 4: Simplify right side
    151,371x = 54,934,921,924
  5. Step 5: Solve for x
    x = 54,934,921,924/151,371
  6. Step 6: Final answer
    x = 362,915.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.