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Finding the Third Proportional to 131,498 and 288,025

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Solution

The third proportional to 131,498 and 288,025 is: 630,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,498 : 288,025 = 288,025 : x
  2. Step 2: Convert to fraction form
    131,498/288,025 = 288,025/x
  3. Step 3: Cross multiply
    131,498x = 288,025 × 288,025
  4. Step 4: Simplify right side
    131,498x = 82,958,400,625
  5. Step 5: Solve for x
    x = 82,958,400,625/131,498
  6. Step 6: Final answer
    x = 630,871.96

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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.