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Finding the Third Proportional to 183,633 and 283,754

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Solution

The third proportional to 183,633 and 283,754 is: 438,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,633 : 283,754 = 283,754 : x
  2. Step 2: Convert to fraction form
    183,633/283,754 = 283,754/x
  3. Step 3: Cross multiply
    183,633x = 283,754 × 283,754
  4. Step 4: Simplify right side
    183,633x = 80,516,332,516
  5. Step 5: Solve for x
    x = 80,516,332,516/183,633
  6. Step 6: Final answer
    x = 438,463.31

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Why These Related Problems?

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