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Finding the Third Proportional to 132,990 and 291,416

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Solution

The third proportional to 132,990 and 291,416 is: 638,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,990 : 291,416 = 291,416 : x
  2. Step 2: Convert to fraction form
    132,990/291,416 = 291,416/x
  3. Step 3: Cross multiply
    132,990x = 291,416 × 291,416
  4. Step 4: Simplify right side
    132,990x = 84,923,285,056
  5. Step 5: Solve for x
    x = 84,923,285,056/132,990
  6. Step 6: Final answer
    x = 638,568.95

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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.