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Finding the Third Proportional to 86,305.50 and 178,600.50

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Solution

The third proportional to 86,305.50 and 178,600.50 is: 369,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,305.50 : 178,600.50 = 178,600.50 : x
  2. Step 2: Convert to fraction form
    86,305.50/178,600.50 = 178,600.50/x
  3. Step 3: Cross multiply
    86,305.50x = 178,600.50 × 178,600.50
  4. Step 4: Simplify right side
    86,305.50x = 31,898,138,600.25
  5. Step 5: Solve for x
    x = 31,898,138,600.25/86,305.50
  6. Step 6: Final answer
    x = 369,595.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.