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Finding the Third Proportional to 88,272 and 208,207

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Solution

The third proportional to 88,272 and 208,207 is: 491,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,272 : 208,207 = 208,207 : x
  2. Step 2: Convert to fraction form
    88,272/208,207 = 208,207/x
  3. Step 3: Cross multiply
    88,272x = 208,207 × 208,207
  4. Step 4: Simplify right side
    88,272x = 43,350,154,849
  5. Step 5: Solve for x
    x = 43,350,154,849/88,272
  6. Step 6: Final answer
    x = 491,097.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.