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Finding the Third Proportional to 116,612 and 183,327

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Solution

The third proportional to 116,612 and 183,327 is: 288,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,612 : 183,327 = 183,327 : x
  2. Step 2: Convert to fraction form
    116,612/183,327 = 183,327/x
  3. Step 3: Cross multiply
    116,612x = 183,327 × 183,327
  4. Step 4: Simplify right side
    116,612x = 33,608,788,929
  5. Step 5: Solve for x
    x = 33,608,788,929/116,612
  6. Step 6: Final answer
    x = 288,210.38

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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.