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Finding the Third Proportional to 177,511.50 and 265,599

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Solution

The third proportional to 177,511.50 and 265,599 is: 397,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,511.50 : 265,599 = 265,599 : x
  2. Step 2: Convert to fraction form
    177,511.50/265,599 = 265,599/x
  3. Step 3: Cross multiply
    177,511.50x = 265,599 × 265,599
  4. Step 4: Simplify right side
    177,511.50x = 70,542,828,801
  5. Step 5: Solve for x
    x = 70,542,828,801/177,511.50
  6. Step 6: Final answer
    x = 397,398.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.