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Finding the Third Proportional to 240,900.75 and 316,856.81

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Solution

The third proportional to 240,900.75 and 316,856.81 is: 416,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,900.75 : 316,856.81 = 316,856.81 : x
  2. Step 2: Convert to fraction form
    240,900.75/316,856.81 = 316,856.81/x
  3. Step 3: Cross multiply
    240,900.75x = 316,856.81 × 316,856.81
  4. Step 4: Simplify right side
    240,900.75x = 100,398,239,627.66
  5. Step 5: Solve for x
    x = 100,398,239,627.66/240,900.75
  6. Step 6: Final answer
    x = 416,761.84

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.