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Finding the Third Proportional to 135,368 and 279,328

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Solution

The third proportional to 135,368 and 279,328 is: 576,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,368 : 279,328 = 279,328 : x
  2. Step 2: Convert to fraction form
    135,368/279,328 = 279,328/x
  3. Step 3: Cross multiply
    135,368x = 279,328 × 279,328
  4. Step 4: Simplify right side
    135,368x = 78,024,131,584
  5. Step 5: Solve for x
    x = 78,024,131,584/135,368
  6. Step 6: Final answer
    x = 576,385.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.