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Finding the Third Proportional to 116,622 and 183,342

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Solution

The third proportional to 116,622 and 183,342 is: 288,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,622 : 183,342 = 183,342 : x
  2. Step 2: Convert to fraction form
    116,622/183,342 = 183,342/x
  3. Step 3: Cross multiply
    116,622x = 183,342 × 183,342
  4. Step 4: Simplify right side
    116,622x = 33,614,288,964
  5. Step 5: Solve for x
    x = 33,614,288,964/116,622
  6. Step 6: Final answer
    x = 288,232.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.