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Finding the Third Proportional to 261,381 and 368,091

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Solution

The third proportional to 261,381 and 368,091 is: 518,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,381 : 368,091 = 368,091 : x
  2. Step 2: Convert to fraction form
    261,381/368,091 = 368,091/x
  3. Step 3: Cross multiply
    261,381x = 368,091 × 368,091
  4. Step 4: Simplify right side
    261,381x = 135,490,984,281
  5. Step 5: Solve for x
    x = 135,490,984,281/261,381
  6. Step 6: Final answer
    x = 518,365.85

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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.