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Finding the Third Proportional to 131,290 and 287,743

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Solution

The third proportional to 131,290 and 287,743 is: 630,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,290 : 287,743 = 287,743 : x
  2. Step 2: Convert to fraction form
    131,290/287,743 = 287,743/x
  3. Step 3: Cross multiply
    131,290x = 287,743 × 287,743
  4. Step 4: Simplify right side
    131,290x = 82,796,034,049
  5. Step 5: Solve for x
    x = 82,796,034,049/131,290
  6. Step 6: Final answer
    x = 630,634.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.