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Finding the Third Proportional to 143,482 and 181,926

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Solution

The third proportional to 143,482 and 181,926 is: 230,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,482 : 181,926 = 181,926 : x
  2. Step 2: Convert to fraction form
    143,482/181,926 = 181,926/x
  3. Step 3: Cross multiply
    143,482x = 181,926 × 181,926
  4. Step 4: Simplify right side
    143,482x = 33,097,069,476
  5. Step 5: Solve for x
    x = 33,097,069,476/143,482
  6. Step 6: Final answer
    x = 230,670.53

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.