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Finding the Third Proportional to 261,492 and 368,238

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Solution

The third proportional to 261,492 and 368,238 is: 518,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,492 : 368,238 = 368,238 : x
  2. Step 2: Convert to fraction form
    261,492/368,238 = 368,238/x
  3. Step 3: Cross multiply
    261,492x = 368,238 × 368,238
  4. Step 4: Simplify right side
    261,492x = 135,599,224,644
  5. Step 5: Solve for x
    x = 135,599,224,644/261,492
  6. Step 6: Final answer
    x = 518,559.74

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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.