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Finding the Third Proportional to 131,262 and 287,948

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Solution

The third proportional to 131,262 and 287,948 is: 631,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,262 : 287,948 = 287,948 : x
  2. Step 2: Convert to fraction form
    131,262/287,948 = 287,948/x
  3. Step 3: Cross multiply
    131,262x = 287,948 × 287,948
  4. Step 4: Simplify right side
    131,262x = 82,914,050,704
  5. Step 5: Solve for x
    x = 82,914,050,704/131,262
  6. Step 6: Final answer
    x = 631,668.35

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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.