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Finding the Third Proportional to 95,288 and 208,348

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Solution

The third proportional to 95,288 and 208,348 is: 455,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,288 : 208,348 = 208,348 : x
  2. Step 2: Convert to fraction form
    95,288/208,348 = 208,348/x
  3. Step 3: Cross multiply
    95,288x = 208,348 × 208,348
  4. Step 4: Simplify right side
    95,288x = 43,408,889,104
  5. Step 5: Solve for x
    x = 43,408,889,104/95,288
  6. Step 6: Final answer
    x = 455,554.62

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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.