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Finding the Third Proportional to 106,488 and 229,378

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Solution

The third proportional to 106,488 and 229,378 is: 494,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488 : 229,378 = 229,378 : x
  2. Step 2: Convert to fraction form
    106,488/229,378 = 229,378/x
  3. Step 3: Cross multiply
    106,488x = 229,378 × 229,378
  4. Step 4: Simplify right side
    106,488x = 52,614,266,884
  5. Step 5: Solve for x
    x = 52,614,266,884/106,488
  6. Step 6: Final answer
    x = 494,086.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.