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Finding the Third Proportional to 250,758 and 351,459

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Solution

The third proportional to 250,758 and 351,459 is: 492,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,758 : 351,459 = 351,459 : x
  2. Step 2: Convert to fraction form
    250,758/351,459 = 351,459/x
  3. Step 3: Cross multiply
    250,758x = 351,459 × 351,459
  4. Step 4: Simplify right side
    250,758x = 123,523,428,681
  5. Step 5: Solve for x
    x = 123,523,428,681/250,758
  6. Step 6: Final answer
    x = 492,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.