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Finding the Third Proportional to 188,127 and 406,926

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Solution

The third proportional to 188,127 and 406,926 is: 880,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,127 : 406,926 = 406,926 : x
  2. Step 2: Convert to fraction form
    188,127/406,926 = 406,926/x
  3. Step 3: Cross multiply
    188,127x = 406,926 × 406,926
  4. Step 4: Simplify right side
    188,127x = 165,588,769,476
  5. Step 5: Solve for x
    x = 165,588,769,476/188,127
  6. Step 6: Final answer
    x = 880,196.73

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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.