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Finding the Third Proportional to 159,758.58 and 350,072.51

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Solution

The third proportional to 159,758.58 and 350,072.51 is: 767,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,758.58 : 350,072.51 = 350,072.51 : x
  2. Step 2: Convert to fraction form
    159,758.58/350,072.51 = 350,072.51/x
  3. Step 3: Cross multiply
    159,758.58x = 350,072.51 × 350,072.51
  4. Step 4: Simplify right side
    159,758.58x = 122,550,760,726.13
  5. Step 5: Solve for x
    x = 122,550,760,726.13/159,758.58
  6. Step 6: Final answer
    x = 767,099.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.