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Finding the Third Proportional to 115,034 and 250,318

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Solution

The third proportional to 115,034 and 250,318 is: 544,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,034 : 250,318 = 250,318 : x
  2. Step 2: Convert to fraction form
    115,034/250,318 = 250,318/x
  3. Step 3: Cross multiply
    115,034x = 250,318 × 250,318
  4. Step 4: Simplify right side
    115,034x = 62,659,101,124
  5. Step 5: Solve for x
    x = 62,659,101,124/115,034
  6. Step 6: Final answer
    x = 544,700.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.