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Finding the Third Proportional to 174,540 and 376,928

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Solution

The third proportional to 174,540 and 376,928 is: 813,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,540 : 376,928 = 376,928 : x
  2. Step 2: Convert to fraction form
    174,540/376,928 = 376,928/x
  3. Step 3: Cross multiply
    174,540x = 376,928 × 376,928
  4. Step 4: Simplify right side
    174,540x = 142,074,717,184
  5. Step 5: Solve for x
    x = 142,074,717,184/174,540
  6. Step 6: Final answer
    x = 813,995.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.