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Finding the Third Proportional to 250,868 and 357,617

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Solution

The third proportional to 250,868 and 357,617 is: 509,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,868 : 357,617 = 357,617 : x
  2. Step 2: Convert to fraction form
    250,868/357,617 = 357,617/x
  3. Step 3: Cross multiply
    250,868x = 357,617 × 357,617
  4. Step 4: Simplify right side
    250,868x = 127,889,918,689
  5. Step 5: Solve for x
    x = 127,889,918,689/250,868
  6. Step 6: Final answer
    x = 509,789.68

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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.