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Finding the Third Proportional to 115,308 and 250,298

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Solution

The third proportional to 115,308 and 250,298 is: 543,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,308 : 250,298 = 250,298 : x
  2. Step 2: Convert to fraction form
    115,308/250,298 = 250,298/x
  3. Step 3: Cross multiply
    115,308x = 250,298 × 250,298
  4. Step 4: Simplify right side
    115,308x = 62,649,088,804
  5. Step 5: Solve for x
    x = 62,649,088,804/115,308
  6. Step 6: Final answer
    x = 543,319.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.