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Finding the Third Proportional to 175,518 and 342,282

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Solution

The third proportional to 175,518 and 342,282 is: 667,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,518 : 342,282 = 342,282 : x
  2. Step 2: Convert to fraction form
    175,518/342,282 = 342,282/x
  3. Step 3: Cross multiply
    175,518x = 342,282 × 342,282
  4. Step 4: Simplify right side
    175,518x = 117,156,967,524
  5. Step 5: Solve for x
    x = 117,156,967,524/175,518
  6. Step 6: Final answer
    x = 667,492.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.