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Finding the Third Proportional to 97,670 and 207,330

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Solution

The third proportional to 97,670 and 207,330 is: 440,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,670 : 207,330 = 207,330 : x
  2. Step 2: Convert to fraction form
    97,670/207,330 = 207,330/x
  3. Step 3: Cross multiply
    97,670x = 207,330 × 207,330
  4. Step 4: Simplify right side
    97,670x = 42,985,728,900
  5. Step 5: Solve for x
    x = 42,985,728,900/97,670
  6. Step 6: Final answer
    x = 440,111.90

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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.