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Finding the Third Proportional to 102,764.75 and 225,167.50

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Solution

The third proportional to 102,764.75 and 225,167.50 is: 493,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764.75 : 225,167.50 = 225,167.50 : x
  2. Step 2: Convert to fraction form
    102,764.75/225,167.50 = 225,167.50/x
  3. Step 3: Cross multiply
    102,764.75x = 225,167.50 × 225,167.50
  4. Step 4: Simplify right side
    102,764.75x = 50,700,403,056.25
  5. Step 5: Solve for x
    x = 50,700,403,056.25/102,764.75
  6. Step 6: Final answer
    x = 493,363.76

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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.