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Finding the Third Proportional to 81,356.50 and 175,201.50

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Solution

The third proportional to 81,356.50 and 175,201.50 is: 377,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,356.50 : 175,201.50 = 175,201.50 : x
  2. Step 2: Convert to fraction form
    81,356.50/175,201.50 = 175,201.50/x
  3. Step 3: Cross multiply
    81,356.50x = 175,201.50 × 175,201.50
  4. Step 4: Simplify right side
    81,356.50x = 30,695,565,602.25
  5. Step 5: Solve for x
    x = 30,695,565,602.25/81,356.50
  6. Step 6: Final answer
    x = 377,297.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.