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Finding the Third Proportional to 107,536 and 236,482

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Solution

The third proportional to 107,536 and 236,482 is: 520,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536 : 236,482 = 236,482 : x
  2. Step 2: Convert to fraction form
    107,536/236,482 = 236,482/x
  3. Step 3: Cross multiply
    107,536x = 236,482 × 236,482
  4. Step 4: Simplify right side
    107,536x = 55,923,736,324
  5. Step 5: Solve for x
    x = 55,923,736,324/107,536
  6. Step 6: Final answer
    x = 520,046.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.