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Finding the Third Proportional to 175,514 and 342,278

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Solution

The third proportional to 175,514 and 342,278 is: 667,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,514 : 342,278 = 342,278 : x
  2. Step 2: Convert to fraction form
    175,514/342,278 = 342,278/x
  3. Step 3: Cross multiply
    175,514x = 342,278 × 342,278
  4. Step 4: Simplify right side
    175,514x = 117,154,229,284
  5. Step 5: Solve for x
    x = 117,154,229,284/175,514
  6. Step 6: Final answer
    x = 667,492.22

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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.