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Finding the Third Proportional to 149,726 and 327,586

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Solution

The third proportional to 149,726 and 327,586 is: 716,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 327,586 = 327,586 : x
  2. Step 2: Convert to fraction form
    149,726/327,586 = 327,586/x
  3. Step 3: Cross multiply
    149,726x = 327,586 × 327,586
  4. Step 4: Simplify right side
    149,726x = 107,312,587,396
  5. Step 5: Solve for x
    x = 107,312,587,396/149,726
  6. Step 6: Final answer
    x = 716,726.47

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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.