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Finding the Third Proportional to 213,259.50 and 450,981

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Solution

The third proportional to 213,259.50 and 450,981 is: 953,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,259.50 : 450,981 = 450,981 : x
  2. Step 2: Convert to fraction form
    213,259.50/450,981 = 450,981/x
  3. Step 3: Cross multiply
    213,259.50x = 450,981 × 450,981
  4. Step 4: Simplify right side
    213,259.50x = 203,383,862,361
  5. Step 5: Solve for x
    x = 203,383,862,361/213,259.50
  6. Step 6: Final answer
    x = 953,691.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.