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Finding the Third Proportional to 151,464 and 234,498

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Solution

The third proportional to 151,464 and 234,498 is: 363,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464 : 234,498 = 234,498 : x
  2. Step 2: Convert to fraction form
    151,464/234,498 = 234,498/x
  3. Step 3: Cross multiply
    151,464x = 234,498 × 234,498
  4. Step 4: Simplify right side
    151,464x = 54,989,312,004
  5. Step 5: Solve for x
    x = 54,989,312,004/151,464
  6. Step 6: Final answer
    x = 363,052.03

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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.