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Finding the Third Proportional to 150,613.13 and 326,022

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Solution

The third proportional to 150,613.13 and 326,022 is: 705,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,613.13 : 326,022 = 326,022 : x
  2. Step 2: Convert to fraction form
    150,613.13/326,022 = 326,022/x
  3. Step 3: Cross multiply
    150,613.13x = 326,022 × 326,022
  4. Step 4: Simplify right side
    150,613.13x = 106,290,344,484
  5. Step 5: Solve for x
    x = 106,290,344,484/150,613.13
  6. Step 6: Final answer
    x = 705,717.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.