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Finding the Third Proportional to 203,217.50 and 316,456.50

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Solution

The third proportional to 203,217.50 and 316,456.50 is: 492,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,217.50 : 316,456.50 = 316,456.50 : x
  2. Step 2: Convert to fraction form
    203,217.50/316,456.50 = 316,456.50/x
  3. Step 3: Cross multiply
    203,217.50x = 316,456.50 × 316,456.50
  4. Step 4: Simplify right side
    203,217.50x = 100,144,716,392.25
  5. Step 5: Solve for x
    x = 100,144,716,392.25/203,217.50
  6. Step 6: Final answer
    x = 492,795.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.