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Finding the Third Proportional to 134,024 and 207,372

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Solution

The third proportional to 134,024 and 207,372 is: 320,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,024 : 207,372 = 207,372 : x
  2. Step 2: Convert to fraction form
    134,024/207,372 = 207,372/x
  3. Step 3: Cross multiply
    134,024x = 207,372 × 207,372
  4. Step 4: Simplify right side
    134,024x = 43,003,146,384
  5. Step 5: Solve for x
    x = 43,003,146,384/134,024
  6. Step 6: Final answer
    x = 320,861.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.