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Finding the Third Proportional to 151,377 and 234,390

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Solution

The third proportional to 151,377 and 234,390 is: 362,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,377 : 234,390 = 234,390 : x
  2. Step 2: Convert to fraction form
    151,377/234,390 = 234,390/x
  3. Step 3: Cross multiply
    151,377x = 234,390 × 234,390
  4. Step 4: Simplify right side
    151,377x = 54,938,672,100
  5. Step 5: Solve for x
    x = 54,938,672,100/151,377
  6. Step 6: Final answer
    x = 362,926.15

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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.