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Finding the Third Proportional to 150,613 and 326,023

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Solution

The third proportional to 150,613 and 326,023 is: 705,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,613 : 326,023 = 326,023 : x
  2. Step 2: Convert to fraction form
    150,613/326,023 = 326,023/x
  3. Step 3: Cross multiply
    150,613x = 326,023 × 326,023
  4. Step 4: Simplify right side
    150,613x = 106,290,996,529
  5. Step 5: Solve for x
    x = 106,290,996,529/150,613
  6. Step 6: Final answer
    x = 705,722.59

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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.