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Finding the Third Proportional to 181,926 and 391,212.75

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Solution

The third proportional to 181,926 and 391,212.75 is: 841,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,926 : 391,212.75 = 391,212.75 : x
  2. Step 2: Convert to fraction form
    181,926/391,212.75 = 391,212.75/x
  3. Step 3: Cross multiply
    181,926x = 391,212.75 × 391,212.75
  4. Step 4: Simplify right side
    181,926x = 153,047,415,762.56
  5. Step 5: Solve for x
    x = 153,047,415,762.56/181,926
  6. Step 6: Final answer
    x = 841,261.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.