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Finding the Third Proportional to 177,267.75 and 263,118

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Solution

The third proportional to 177,267.75 and 263,118 is: 390,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,267.75 : 263,118 = 263,118 : x
  2. Step 2: Convert to fraction form
    177,267.75/263,118 = 263,118/x
  3. Step 3: Cross multiply
    177,267.75x = 263,118 × 263,118
  4. Step 4: Simplify right side
    177,267.75x = 69,231,081,924
  5. Step 5: Solve for x
    x = 69,231,081,924/177,267.75
  6. Step 6: Final answer
    x = 390,545.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.