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Finding the Third Proportional to 147,425.06 and 233,803.97

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Solution

The third proportional to 147,425.06 and 233,803.97 is: 370,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,425.06 : 233,803.97 = 233,803.97 : x
  2. Step 2: Convert to fraction form
    147,425.06/233,803.97 = 233,803.97/x
  3. Step 3: Cross multiply
    147,425.06x = 233,803.97 × 233,803.97
  4. Step 4: Simplify right side
    147,425.06x = 54,664,295,803.25
  5. Step 5: Solve for x
    x = 54,664,295,803.25/147,425.06
  6. Step 6: Final answer
    x = 370,793.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.