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Finding the Third Proportional to 188,566 and 409,276

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Solution

The third proportional to 188,566 and 409,276 is: 888,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,566 : 409,276 = 409,276 : x
  2. Step 2: Convert to fraction form
    188,566/409,276 = 409,276/x
  3. Step 3: Cross multiply
    188,566x = 409,276 × 409,276
  4. Step 4: Simplify right side
    188,566x = 167,506,844,176
  5. Step 5: Solve for x
    x = 167,506,844,176/188,566
  6. Step 6: Final answer
    x = 888,319.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.