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Finding the Third Proportional to 183,556.13 and 283,641.75

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Solution

The third proportional to 183,556.13 and 283,641.75 is: 438,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556.13 : 283,641.75 = 283,641.75 : x
  2. Step 2: Convert to fraction form
    183,556.13/283,641.75 = 283,641.75/x
  3. Step 3: Cross multiply
    183,556.13x = 283,641.75 × 283,641.75
  4. Step 4: Simplify right side
    183,556.13x = 80,452,642,343.06
  5. Step 5: Solve for x
    x = 80,452,642,343.06/183,556.13
  6. Step 6: Final answer
    x = 438,299.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.