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Finding the Third Proportional to 250,884 and 368,298

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Solution

The third proportional to 250,884 and 368,298 is: 540,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,884 : 368,298 = 368,298 : x
  2. Step 2: Convert to fraction form
    250,884/368,298 = 368,298/x
  3. Step 3: Cross multiply
    250,884x = 368,298 × 368,298
  4. Step 4: Simplify right side
    250,884x = 135,643,416,804
  5. Step 5: Solve for x
    x = 135,643,416,804/250,884
  6. Step 6: Final answer
    x = 540,661.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.