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Finding the Third Proportional to 188,184 and 402,616

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Solution

The third proportional to 188,184 and 402,616 is: 861,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,184 : 402,616 = 402,616 : x
  2. Step 2: Convert to fraction form
    188,184/402,616 = 402,616/x
  3. Step 3: Cross multiply
    188,184x = 402,616 × 402,616
  4. Step 4: Simplify right side
    188,184x = 162,099,643,456
  5. Step 5: Solve for x
    x = 162,099,643,456/188,184
  6. Step 6: Final answer
    x = 861,389.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.