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Finding the Third Proportional to 149,877.84 and 327,731.06

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Solution

The third proportional to 149,877.84 and 327,731.06 is: 716,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,877.84 : 327,731.06 = 327,731.06 : x
  2. Step 2: Convert to fraction form
    149,877.84/327,731.06 = 327,731.06/x
  3. Step 3: Cross multiply
    149,877.84x = 327,731.06 × 327,731.06
  4. Step 4: Simplify right side
    149,877.84x = 107,407,649,327.38
  5. Step 5: Solve for x
    x = 107,407,649,327.38/149,877.84
  6. Step 6: Final answer
    x = 716,634.60

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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.