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Finding the Third Proportional to 273,408 and 368,061

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Solution

The third proportional to 273,408 and 368,061 is: 495,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,408 : 368,061 = 368,061 : x
  2. Step 2: Convert to fraction form
    273,408/368,061 = 368,061/x
  3. Step 3: Cross multiply
    273,408x = 368,061 × 368,061
  4. Step 4: Simplify right side
    273,408x = 135,468,899,721
  5. Step 5: Solve for x
    x = 135,468,899,721/273,408
  6. Step 6: Final answer
    x = 495,482.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.