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Finding the Third Proportional to 177,159 and 269,017.50

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Solution

The third proportional to 177,159 and 269,017.50 is: 408,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,159 : 269,017.50 = 269,017.50 : x
  2. Step 2: Convert to fraction form
    177,159/269,017.50 = 269,017.50/x
  3. Step 3: Cross multiply
    177,159x = 269,017.50 × 269,017.50
  4. Step 4: Simplify right side
    177,159x = 72,370,415,306.25
  5. Step 5: Solve for x
    x = 72,370,415,306.25/177,159
  6. Step 6: Final answer
    x = 408,505.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.