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Finding the Third Proportional to 192,982.50 and 418,972.50

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Solution

The third proportional to 192,982.50 and 418,972.50 is: 909,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,982.50 : 418,972.50 = 418,972.50 : x
  2. Step 2: Convert to fraction form
    192,982.50/418,972.50 = 418,972.50/x
  3. Step 3: Cross multiply
    192,982.50x = 418,972.50 × 418,972.50
  4. Step 4: Simplify right side
    192,982.50x = 175,537,955,756.25
  5. Step 5: Solve for x
    x = 175,537,955,756.25/192,982.50
  6. Step 6: Final answer
    x = 909,605.56

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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.