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Finding the Third Proportional to 177,426 and 378,078

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Solution

The third proportional to 177,426 and 378,078 is: 805,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,426 : 378,078 = 378,078 : x
  2. Step 2: Convert to fraction form
    177,426/378,078 = 378,078/x
  3. Step 3: Cross multiply
    177,426x = 378,078 × 378,078
  4. Step 4: Simplify right side
    177,426x = 142,942,974,084
  5. Step 5: Solve for x
    x = 142,942,974,084/177,426
  6. Step 6: Final answer
    x = 805,648.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.