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Finding the Third Proportional to 177,901.50 and 275,164.50

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Solution

The third proportional to 177,901.50 and 275,164.50 is: 425,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,901.50 : 275,164.50 = 275,164.50 : x
  2. Step 2: Convert to fraction form
    177,901.50/275,164.50 = 275,164.50/x
  3. Step 3: Cross multiply
    177,901.50x = 275,164.50 × 275,164.50
  4. Step 4: Simplify right side
    177,901.50x = 75,715,502,060.25
  5. Step 5: Solve for x
    x = 75,715,502,060.25/177,901.50
  6. Step 6: Final answer
    x = 425,603.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.