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Finding the Third Proportional to 186,988 and 400,216

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Solution

The third proportional to 186,988 and 400,216 is: 856,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988 : 400,216 = 400,216 : x
  2. Step 2: Convert to fraction form
    186,988/400,216 = 400,216/x
  3. Step 3: Cross multiply
    186,988x = 400,216 × 400,216
  4. Step 4: Simplify right side
    186,988x = 160,172,846,656
  5. Step 5: Solve for x
    x = 160,172,846,656/186,988
  6. Step 6: Final answer
    x = 856,594.26

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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.