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Finding the Third Proportional to 182,250 and 382,926

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Solution

The third proportional to 182,250 and 382,926 is: 804,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,250 : 382,926 = 382,926 : x
  2. Step 2: Convert to fraction form
    182,250/382,926 = 382,926/x
  3. Step 3: Cross multiply
    182,250x = 382,926 × 382,926
  4. Step 4: Simplify right side
    182,250x = 146,632,321,476
  5. Step 5: Solve for x
    x = 146,632,321,476/182,250
  6. Step 6: Final answer
    x = 804,566.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.