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Finding the Third Proportional to 132,948 and 286,766

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Solution

The third proportional to 132,948 and 286,766 is: 618,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,948 : 286,766 = 286,766 : x
  2. Step 2: Convert to fraction form
    132,948/286,766 = 286,766/x
  3. Step 3: Cross multiply
    132,948x = 286,766 × 286,766
  4. Step 4: Simplify right side
    132,948x = 82,234,738,756
  5. Step 5: Solve for x
    x = 82,234,738,756/132,948
  6. Step 6: Final answer
    x = 618,548.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.