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Finding the Third Proportional to 169,416 and 360,744

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Solution

The third proportional to 169,416 and 360,744 is: 768,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,416 : 360,744 = 360,744 : x
  2. Step 2: Convert to fraction form
    169,416/360,744 = 360,744/x
  3. Step 3: Cross multiply
    169,416x = 360,744 × 360,744
  4. Step 4: Simplify right side
    169,416x = 130,136,233,536
  5. Step 5: Solve for x
    x = 130,136,233,536/169,416
  6. Step 6: Final answer
    x = 768,146.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.