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Finding the Third Proportional to 154,691 and 246,146

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Solution

The third proportional to 154,691 and 246,146 is: 391,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,691 : 246,146 = 246,146 : x
  2. Step 2: Convert to fraction form
    154,691/246,146 = 246,146/x
  3. Step 3: Cross multiply
    154,691x = 246,146 × 246,146
  4. Step 4: Simplify right side
    154,691x = 60,587,853,316
  5. Step 5: Solve for x
    x = 60,587,853,316/154,691
  6. Step 6: Final answer
    x = 391,670.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.