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Finding the Third Proportional to 149,407.88 and 323,705.25

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Solution

The third proportional to 149,407.88 and 323,705.25 is: 701,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,407.88 : 323,705.25 = 323,705.25 : x
  2. Step 2: Convert to fraction form
    149,407.88/323,705.25 = 323,705.25/x
  3. Step 3: Cross multiply
    149,407.88x = 323,705.25 × 323,705.25
  4. Step 4: Simplify right side
    149,407.88x = 104,785,088,877.56
  5. Step 5: Solve for x
    x = 104,785,088,877.56/149,407.88
  6. Step 6: Final answer
    x = 701,335.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.