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Finding the Third Proportional to 103,901.25 and 227,242.50

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Solution

The third proportional to 103,901.25 and 227,242.50 is: 497,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,901.25 : 227,242.50 = 227,242.50 : x
  2. Step 2: Convert to fraction form
    103,901.25/227,242.50 = 227,242.50/x
  3. Step 3: Cross multiply
    103,901.25x = 227,242.50 × 227,242.50
  4. Step 4: Simplify right side
    103,901.25x = 51,639,153,806.25
  5. Step 5: Solve for x
    x = 51,639,153,806.25/103,901.25
  6. Step 6: Final answer
    x = 497,002.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.