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Finding the Third Proportional to 95,404 and 208,952

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Solution

The third proportional to 95,404 and 208,952 is: 457,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,404 : 208,952 = 208,952 : x
  2. Step 2: Convert to fraction form
    95,404/208,952 = 208,952/x
  3. Step 3: Cross multiply
    95,404x = 208,952 × 208,952
  4. Step 4: Simplify right side
    95,404x = 43,660,938,304
  5. Step 5: Solve for x
    x = 43,660,938,304/95,404
  6. Step 6: Final answer
    x = 457,642.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.