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Finding the Third Proportional to 192,352 and 418,576

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Solution

The third proportional to 192,352 and 418,576 is: 910,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,352 : 418,576 = 418,576 : x
  2. Step 2: Convert to fraction form
    192,352/418,576 = 418,576/x
  3. Step 3: Cross multiply
    192,352x = 418,576 × 418,576
  4. Step 4: Simplify right side
    192,352x = 175,205,867,776
  5. Step 5: Solve for x
    x = 175,205,867,776/192,352
  6. Step 6: Final answer
    x = 910,860.65

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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.