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Finding the Third Proportional to 151,778 and 234,512

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Solution

The third proportional to 151,778 and 234,512 is: 362,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,778 : 234,512 = 234,512 : x
  2. Step 2: Convert to fraction form
    151,778/234,512 = 234,512/x
  3. Step 3: Cross multiply
    151,778x = 234,512 × 234,512
  4. Step 4: Simplify right side
    151,778x = 54,995,878,144
  5. Step 5: Solve for x
    x = 54,995,878,144/151,778
  6. Step 6: Final answer
    x = 362,344.20

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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.