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Finding the Third Proportional to 131,462.25 and 287,802

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Solution

The third proportional to 131,462.25 and 287,802 is: 630,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,462.25 : 287,802 = 287,802 : x
  2. Step 2: Convert to fraction form
    131,462.25/287,802 = 287,802/x
  3. Step 3: Cross multiply
    131,462.25x = 287,802 × 287,802
  4. Step 4: Simplify right side
    131,462.25x = 82,829,991,204
  5. Step 5: Solve for x
    x = 82,829,991,204/131,462.25
  6. Step 6: Final answer
    x = 630,066.74

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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.