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Finding the Third Proportional to 149,725.13 and 327,106.13

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Solution

The third proportional to 149,725.13 and 327,106.13 is: 714,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,725.13 : 327,106.13 = 327,106.13 : x
  2. Step 2: Convert to fraction form
    149,725.13/327,106.13 = 327,106.13/x
  3. Step 3: Cross multiply
    149,725.13x = 327,106.13 × 327,106.13
  4. Step 4: Simplify right side
    149,725.13x = 106,998,417,012.52
  5. Step 5: Solve for x
    x = 106,998,417,012.52/149,725.13
  6. Step 6: Final answer
    x = 714,632.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.