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Finding the Third Proportional to 96,150 and 208,524

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Solution

The third proportional to 96,150 and 208,524 is: 452,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,150 : 208,524 = 208,524 : x
  2. Step 2: Convert to fraction form
    96,150/208,524 = 208,524/x
  3. Step 3: Cross multiply
    96,150x = 208,524 × 208,524
  4. Step 4: Simplify right side
    96,150x = 43,482,258,576
  5. Step 5: Solve for x
    x = 43,482,258,576/96,150
  6. Step 6: Final answer
    x = 452,233.58

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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.