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Finding the Third Proportional to 183,693 and 283,724

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Solution

The third proportional to 183,693 and 283,724 is: 438,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,693 : 283,724 = 283,724 : x
  2. Step 2: Convert to fraction form
    183,693/283,724 = 283,724/x
  3. Step 3: Cross multiply
    183,693x = 283,724 × 283,724
  4. Step 4: Simplify right side
    183,693x = 80,499,308,176
  5. Step 5: Solve for x
    x = 80,499,308,176/183,693
  6. Step 6: Final answer
    x = 438,227.41

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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.