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Finding the Third Proportional to 131,468 and 287,814

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Solution

The third proportional to 131,468 and 287,814 is: 630,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,468 : 287,814 = 287,814 : x
  2. Step 2: Convert to fraction form
    131,468/287,814 = 287,814/x
  3. Step 3: Cross multiply
    131,468x = 287,814 × 287,814
  4. Step 4: Simplify right side
    131,468x = 82,836,898,596
  5. Step 5: Solve for x
    x = 82,836,898,596/131,468
  6. Step 6: Final answer
    x = 630,091.72

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Why These Related Problems?

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