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Finding the Third Proportional to 218,018.25 and 462,422.25

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Solution

The third proportional to 218,018.25 and 462,422.25 is: 980,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,018.25 : 462,422.25 = 462,422.25 : x
  2. Step 2: Convert to fraction form
    218,018.25/462,422.25 = 462,422.25/x
  3. Step 3: Cross multiply
    218,018.25x = 462,422.25 × 462,422.25
  4. Step 4: Simplify right side
    218,018.25x = 213,834,337,295.06
  5. Step 5: Solve for x
    x = 213,834,337,295.06/218,018.25
  6. Step 6: Final answer
    x = 980,809.35

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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.