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Finding the Third Proportional to 97,670 and 207,334

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Solution

The third proportional to 97,670 and 207,334 is: 440,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,670 : 207,334 = 207,334 : x
  2. Step 2: Convert to fraction form
    97,670/207,334 = 207,334/x
  3. Step 3: Cross multiply
    97,670x = 207,334 × 207,334
  4. Step 4: Simplify right side
    97,670x = 42,987,387,556
  5. Step 5: Solve for x
    x = 42,987,387,556/97,670
  6. Step 6: Final answer
    x = 440,128.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.