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Finding the Third Proportional to 161,780.63 and 244,933.88

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Solution

The third proportional to 161,780.63 and 244,933.88 is: 370,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,780.63 : 244,933.88 = 244,933.88 : x
  2. Step 2: Convert to fraction form
    161,780.63/244,933.88 = 244,933.88/x
  3. Step 3: Cross multiply
    161,780.63x = 244,933.88 × 244,933.88
  4. Step 4: Simplify right side
    161,780.63x = 59,992,603,122.52
  5. Step 5: Solve for x
    x = 59,992,603,122.52/161,780.63
  6. Step 6: Final answer
    x = 370,826.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.