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Finding the Third Proportional to 175,394 and 378,844

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Solution

The third proportional to 175,394 and 378,844 is: 818,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,394 : 378,844 = 378,844 : x
  2. Step 2: Convert to fraction form
    175,394/378,844 = 378,844/x
  3. Step 3: Cross multiply
    175,394x = 378,844 × 378,844
  4. Step 4: Simplify right side
    175,394x = 143,522,776,336
  5. Step 5: Solve for x
    x = 143,522,776,336/175,394
  6. Step 6: Final answer
    x = 818,287.83

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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.