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Finding the Third Proportional to 193,433 and 420,072.75

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Solution

The third proportional to 193,433 and 420,072.75 is: 912,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,433 : 420,072.75 = 420,072.75 : x
  2. Step 2: Convert to fraction form
    193,433/420,072.75 = 420,072.75/x
  3. Step 3: Cross multiply
    193,433x = 420,072.75 × 420,072.75
  4. Step 4: Simplify right side
    193,433x = 176,461,115,292.56
  5. Step 5: Solve for x
    x = 176,461,115,292.56/193,433
  6. Step 6: Final answer
    x = 912,259.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.