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Finding the Third Proportional to 136,932.75 and 294,931.13

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Solution

The third proportional to 136,932.75 and 294,931.13 is: 635,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,932.75 : 294,931.13 = 294,931.13 : x
  2. Step 2: Convert to fraction form
    136,932.75/294,931.13 = 294,931.13/x
  3. Step 3: Cross multiply
    136,932.75x = 294,931.13 × 294,931.13
  4. Step 4: Simplify right side
    136,932.75x = 86,984,368,493.77
  5. Step 5: Solve for x
    x = 86,984,368,493.77/136,932.75
  6. Step 6: Final answer
    x = 635,234.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.