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Finding the Third Proportional to 120,818 and 250,132

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Solution

The third proportional to 120,818 and 250,132 is: 517,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,818 : 250,132 = 250,132 : x
  2. Step 2: Convert to fraction form
    120,818/250,132 = 250,132/x
  3. Step 3: Cross multiply
    120,818x = 250,132 × 250,132
  4. Step 4: Simplify right side
    120,818x = 62,566,017,424
  5. Step 5: Solve for x
    x = 62,566,017,424/120,818
  6. Step 6: Final answer
    x = 517,853.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.