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Finding the Third Proportional to 136,469 and 293,674

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Solution

The third proportional to 136,469 and 293,674 is: 631,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,469 : 293,674 = 293,674 : x
  2. Step 2: Convert to fraction form
    136,469/293,674 = 293,674/x
  3. Step 3: Cross multiply
    136,469x = 293,674 × 293,674
  4. Step 4: Simplify right side
    136,469x = 86,244,418,276
  5. Step 5: Solve for x
    x = 86,244,418,276/136,469
  6. Step 6: Final answer
    x = 631,970.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.