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Finding the Third Proportional to 104,322.75 and 224,842.50

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Solution

The third proportional to 104,322.75 and 224,842.50 is: 484,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,322.75 : 224,842.50 = 224,842.50 : x
  2. Step 2: Convert to fraction form
    104,322.75/224,842.50 = 224,842.50/x
  3. Step 3: Cross multiply
    104,322.75x = 224,842.50 × 224,842.50
  4. Step 4: Simplify right side
    104,322.75x = 50,554,149,806.25
  5. Step 5: Solve for x
    x = 50,554,149,806.25/104,322.75
  6. Step 6: Final answer
    x = 484,593.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.