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Finding the Third Proportional to 242,729 and 376,874

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Solution

The third proportional to 242,729 and 376,874 is: 585,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,729 : 376,874 = 376,874 : x
  2. Step 2: Convert to fraction form
    242,729/376,874 = 376,874/x
  3. Step 3: Cross multiply
    242,729x = 376,874 × 376,874
  4. Step 4: Simplify right side
    242,729x = 142,034,011,876
  5. Step 5: Solve for x
    x = 142,034,011,876/242,729
  6. Step 6: Final answer
    x = 585,154.69

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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.