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Finding the Third Proportional to 185,064.75 and 250,786.13

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Solution

The third proportional to 185,064.75 and 250,786.13 is: 339,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,064.75 : 250,786.13 = 250,786.13 : x
  2. Step 2: Convert to fraction form
    185,064.75/250,786.13 = 250,786.13/x
  3. Step 3: Cross multiply
    185,064.75x = 250,786.13 × 250,786.13
  4. Step 4: Simplify right side
    185,064.75x = 62,893,680,492.52
  5. Step 5: Solve for x
    x = 62,893,680,492.52/185,064.75
  6. Step 6: Final answer
    x = 339,846.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.