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Finding the Third Proportional to 132,292.41 and 257,932.69

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Solution

The third proportional to 132,292.41 and 257,932.69 is: 502,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,292.41 : 257,932.69 = 257,932.69 : x
  2. Step 2: Convert to fraction form
    132,292.41/257,932.69 = 257,932.69/x
  3. Step 3: Cross multiply
    132,292.41x = 257,932.69 × 257,932.69
  4. Step 4: Simplify right side
    132,292.41x = 66,529,271,280.97
  5. Step 5: Solve for x
    x = 66,529,271,280.97/132,292.41
  6. Step 6: Final answer
    x = 502,895.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.