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Finding the Third Proportional to 150,020 and 324,952

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Solution

The third proportional to 150,020 and 324,952 is: 703,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,020 : 324,952 = 324,952 : x
  2. Step 2: Convert to fraction form
    150,020/324,952 = 324,952/x
  3. Step 3: Cross multiply
    150,020x = 324,952 × 324,952
  4. Step 4: Simplify right side
    150,020x = 105,593,802,304
  5. Step 5: Solve for x
    x = 105,593,802,304/150,020
  6. Step 6: Final answer
    x = 703,864.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.