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Finding the Third Proportional to 183,022 and 278,056

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Solution

The third proportional to 183,022 and 278,056 is: 422,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,022 : 278,056 = 278,056 : x
  2. Step 2: Convert to fraction form
    183,022/278,056 = 278,056/x
  3. Step 3: Cross multiply
    183,022x = 278,056 × 278,056
  4. Step 4: Simplify right side
    183,022x = 77,315,139,136
  5. Step 5: Solve for x
    x = 77,315,139,136/183,022
  6. Step 6: Final answer
    x = 422,436.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.