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Finding the Third Proportional to 153,940 and 336,251

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Solution

The third proportional to 153,940 and 336,251 is: 734,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,940 : 336,251 = 336,251 : x
  2. Step 2: Convert to fraction form
    153,940/336,251 = 336,251/x
  3. Step 3: Cross multiply
    153,940x = 336,251 × 336,251
  4. Step 4: Simplify right side
    153,940x = 113,064,735,001
  5. Step 5: Solve for x
    x = 113,064,735,001/153,940
  6. Step 6: Final answer
    x = 734,472.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.