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Finding the Third Proportional to 150,501 and 326,919

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Solution

The third proportional to 150,501 and 326,919 is: 710,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,501 : 326,919 = 326,919 : x
  2. Step 2: Convert to fraction form
    150,501/326,919 = 326,919/x
  3. Step 3: Cross multiply
    150,501x = 326,919 × 326,919
  4. Step 4: Simplify right side
    150,501x = 106,876,032,561
  5. Step 5: Solve for x
    x = 106,876,032,561/150,501
  6. Step 6: Final answer
    x = 710,135.03

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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.