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Finding the Third Proportional to 147,182.91 and 233,440.73

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Solution

The third proportional to 147,182.91 and 233,440.73 is: 370,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,182.91 : 233,440.73 = 233,440.73 : x
  2. Step 2: Convert to fraction form
    147,182.91/233,440.73 = 233,440.73/x
  3. Step 3: Cross multiply
    147,182.91x = 233,440.73 × 233,440.73
  4. Step 4: Simplify right side
    147,182.91x = 54,494,576,465.54
  5. Step 5: Solve for x
    x = 54,494,576,465.54/147,182.91
  6. Step 6: Final answer
    x = 370,250.72

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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.