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Finding the Third Proportional to 150,613 and 326,021.75

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Solution

The third proportional to 150,613 and 326,021.75 is: 705,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,613 : 326,021.75 = 326,021.75 : x
  2. Step 2: Convert to fraction form
    150,613/326,021.75 = 326,021.75/x
  3. Step 3: Cross multiply
    150,613x = 326,021.75 × 326,021.75
  4. Step 4: Simplify right side
    150,613x = 106,290,181,473.06
  5. Step 5: Solve for x
    x = 106,290,181,473.06/150,613
  6. Step 6: Final answer
    x = 705,717.18

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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.