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Finding the Third Proportional to 149,301 and 327,726

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Solution

The third proportional to 149,301 and 327,726 is: 719,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,301 : 327,726 = 327,726 : x
  2. Step 2: Convert to fraction form
    149,301/327,726 = 327,726/x
  3. Step 3: Cross multiply
    149,301x = 327,726 × 327,726
  4. Step 4: Simplify right side
    149,301x = 107,404,331,076
  5. Step 5: Solve for x
    x = 107,404,331,076/149,301
  6. Step 6: Final answer
    x = 719,381.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.