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Finding the Third Proportional to 171,074 and 376,492

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Solution

The third proportional to 171,074 and 376,492 is: 828,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,074 : 376,492 = 376,492 : x
  2. Step 2: Convert to fraction form
    171,074/376,492 = 376,492/x
  3. Step 3: Cross multiply
    171,074x = 376,492 × 376,492
  4. Step 4: Simplify right side
    171,074x = 141,746,226,064
  5. Step 5: Solve for x
    x = 141,746,226,064/171,074
  6. Step 6: Final answer
    x = 828,566.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.