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Finding the Third Proportional to 169,146.39 and 350,282.36

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Solution

The third proportional to 169,146.39 and 350,282.36 is: 725,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,146.39 : 350,282.36 = 350,282.36 : x
  2. Step 2: Convert to fraction form
    169,146.39/350,282.36 = 350,282.36/x
  3. Step 3: Cross multiply
    169,146.39x = 350,282.36 × 350,282.36
  4. Step 4: Simplify right side
    169,146.39x = 122,697,734,710.03
  5. Step 5: Solve for x
    x = 122,697,734,710.03/169,146.39
  6. Step 6: Final answer
    x = 725,393.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.