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Finding the Third Proportional to 175,324 and 378,664

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Solution

The third proportional to 175,324 and 378,664 is: 817,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,324 : 378,664 = 378,664 : x
  2. Step 2: Convert to fraction form
    175,324/378,664 = 378,664/x
  3. Step 3: Cross multiply
    175,324x = 378,664 × 378,664
  4. Step 4: Simplify right side
    175,324x = 143,386,424,896
  5. Step 5: Solve for x
    x = 143,386,424,896/175,324
  6. Step 6: Final answer
    x = 817,836.83

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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.