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Finding the Third Proportional to 149,617 and 327,386

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Solution

The third proportional to 149,617 and 327,386 is: 716,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,617 : 327,386 = 327,386 : x
  2. Step 2: Convert to fraction form
    149,617/327,386 = 327,386/x
  3. Step 3: Cross multiply
    149,617x = 327,386 × 327,386
  4. Step 4: Simplify right side
    149,617x = 107,181,592,996
  5. Step 5: Solve for x
    x = 107,181,592,996/149,617
  6. Step 6: Final answer
    x = 716,373.09

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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.