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Finding the Third Proportional to 216,868.50 and 469,932.75

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Solution

The third proportional to 216,868.50 and 469,932.75 is: 1,018,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,868.50 : 469,932.75 = 469,932.75 : x
  2. Step 2: Convert to fraction form
    216,868.50/469,932.75 = 469,932.75/x
  3. Step 3: Cross multiply
    216,868.50x = 469,932.75 × 469,932.75
  4. Step 4: Simplify right side
    216,868.50x = 220,836,789,522.56
  5. Step 5: Solve for x
    x = 220,836,789,522.56/216,868.50
  6. Step 6: Final answer
    x = 1,018,298.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.