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Finding the Third Proportional to 193,207.50 and 420,780

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Solution

The third proportional to 193,207.50 and 420,780 is: 916,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,207.50 : 420,780 = 420,780 : x
  2. Step 2: Convert to fraction form
    193,207.50/420,780 = 420,780/x
  3. Step 3: Cross multiply
    193,207.50x = 420,780 × 420,780
  4. Step 4: Simplify right side
    193,207.50x = 177,055,808,400
  5. Step 5: Solve for x
    x = 177,055,808,400/193,207.50
  6. Step 6: Final answer
    x = 916,402.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.