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Finding the Third Proportional to 250,863.19 and 357,610.78

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Solution

The third proportional to 250,863.19 and 357,610.78 is: 509,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,863.19 : 357,610.78 = 357,610.78 : x
  2. Step 2: Convert to fraction form
    250,863.19/357,610.78 = 357,610.78/x
  3. Step 3: Cross multiply
    250,863.19x = 357,610.78 × 357,610.78
  4. Step 4: Simplify right side
    250,863.19x = 127,885,470,866.24
  5. Step 5: Solve for x
    x = 127,885,470,866.24/250,863.19
  6. Step 6: Final answer
    x = 509,781.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.