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Finding the Third Proportional to 188,206 and 402,284

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Solution

The third proportional to 188,206 and 402,284 is: 859,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,206 : 402,284 = 402,284 : x
  2. Step 2: Convert to fraction form
    188,206/402,284 = 402,284/x
  3. Step 3: Cross multiply
    188,206x = 402,284 × 402,284
  4. Step 4: Simplify right side
    188,206x = 161,832,416,656
  5. Step 5: Solve for x
    x = 161,832,416,656/188,206
  6. Step 6: Final answer
    x = 859,868.53

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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.