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Finding the Third Proportional to 193,119.75 and 420,552

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Solution

The third proportional to 193,119.75 and 420,552 is: 915,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,119.75 : 420,552 = 420,552 : x
  2. Step 2: Convert to fraction form
    193,119.75/420,552 = 420,552/x
  3. Step 3: Cross multiply
    193,119.75x = 420,552 × 420,552
  4. Step 4: Simplify right side
    193,119.75x = 176,863,984,704
  5. Step 5: Solve for x
    x = 176,863,984,704/193,119.75
  6. Step 6: Final answer
    x = 915,825.46

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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.