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Finding the Third Proportional to 149,396 and 326,762

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Solution

The third proportional to 149,396 and 326,762 is: 714,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,396 : 326,762 = 326,762 : x
  2. Step 2: Convert to fraction form
    149,396/326,762 = 326,762/x
  3. Step 3: Cross multiply
    149,396x = 326,762 × 326,762
  4. Step 4: Simplify right side
    149,396x = 106,773,404,644
  5. Step 5: Solve for x
    x = 106,773,404,644/149,396
  6. Step 6: Final answer
    x = 714,700.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.