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Finding the Third Proportional to 261,387 and 368,100

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Solution

The third proportional to 261,387 and 368,100 is: 518,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,387 : 368,100 = 368,100 : x
  2. Step 2: Convert to fraction form
    261,387/368,100 = 368,100/x
  3. Step 3: Cross multiply
    261,387x = 368,100 × 368,100
  4. Step 4: Simplify right side
    261,387x = 135,497,610,000
  5. Step 5: Solve for x
    x = 135,497,610,000/261,387
  6. Step 6: Final answer
    x = 518,379.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.