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Finding the Third Proportional to 175,912 and 414,835

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Solution

The third proportional to 175,912 and 414,835 is: 978,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,912 : 414,835 = 414,835 : x
  2. Step 2: Convert to fraction form
    175,912/414,835 = 414,835/x
  3. Step 3: Cross multiply
    175,912x = 414,835 × 414,835
  4. Step 4: Simplify right side
    175,912x = 172,088,077,225
  5. Step 5: Solve for x
    x = 172,088,077,225/175,912
  6. Step 6: Final answer
    x = 978,262.30

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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.