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Finding the Third Proportional to 175,992 and 265,492

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Solution

The third proportional to 175,992 and 265,492 is: 400,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,992 : 265,492 = 265,492 : x
  2. Step 2: Convert to fraction form
    175,992/265,492 = 265,492/x
  3. Step 3: Cross multiply
    175,992x = 265,492 × 265,492
  4. Step 4: Simplify right side
    175,992x = 70,486,002,064
  5. Step 5: Solve for x
    x = 70,486,002,064/175,992
  6. Step 6: Final answer
    x = 400,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.