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Finding the Third Proportional to 175,898.25 and 414,801

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Solution

The third proportional to 175,898.25 and 414,801 is: 978,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,898.25 : 414,801 = 414,801 : x
  2. Step 2: Convert to fraction form
    175,898.25/414,801 = 414,801/x
  3. Step 3: Cross multiply
    175,898.25x = 414,801 × 414,801
  4. Step 4: Simplify right side
    175,898.25x = 172,059,869,601
  5. Step 5: Solve for x
    x = 172,059,869,601/175,898.25
  6. Step 6: Final answer
    x = 978,178.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.