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Finding the Third Proportional to 216,374 and 332,785

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Solution

The third proportional to 216,374 and 332,785 is: 511,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,374 : 332,785 = 332,785 : x
  2. Step 2: Convert to fraction form
    216,374/332,785 = 332,785/x
  3. Step 3: Cross multiply
    216,374x = 332,785 × 332,785
  4. Step 4: Simplify right side
    216,374x = 110,745,856,225
  5. Step 5: Solve for x
    x = 110,745,856,225/216,374
  6. Step 6: Final answer
    x = 511,826.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.