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Finding the Third Proportional to 183,685.22 and 283,719.38

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Solution

The third proportional to 183,685.22 and 283,719.38 is: 438,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,685.22 : 283,719.38 = 283,719.38 : x
  2. Step 2: Convert to fraction form
    183,685.22/283,719.38 = 283,719.38/x
  3. Step 3: Cross multiply
    183,685.22x = 283,719.38 × 283,719.38
  4. Step 4: Simplify right side
    183,685.22x = 80,496,683,750.39
  5. Step 5: Solve for x
    x = 80,496,683,750.39/183,685.22
  6. Step 6: Final answer
    x = 438,231.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.