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Finding the Third Proportional to 216,882.75 and 460,008.75

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Solution

The third proportional to 216,882.75 and 460,008.75 is: 975,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,882.75 : 460,008.75 = 460,008.75 : x
  2. Step 2: Convert to fraction form
    216,882.75/460,008.75 = 460,008.75/x
  3. Step 3: Cross multiply
    216,882.75x = 460,008.75 × 460,008.75
  4. Step 4: Simplify right side
    216,882.75x = 211,608,050,076.56
  5. Step 5: Solve for x
    x = 211,608,050,076.56/216,882.75
  6. Step 6: Final answer
    x = 975,679.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.