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Finding the Third Proportional to 250,206 and 368,688

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Solution

The third proportional to 250,206 and 368,688 is: 543,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,206 : 368,688 = 368,688 : x
  2. Step 2: Convert to fraction form
    250,206/368,688 = 368,688/x
  3. Step 3: Cross multiply
    250,206x = 368,688 × 368,688
  4. Step 4: Simplify right side
    250,206x = 135,930,841,344
  5. Step 5: Solve for x
    x = 135,930,841,344/250,206
  6. Step 6: Final answer
    x = 543,275.71

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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.