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Finding the Third Proportional to 188,875.13 and 409,687.88

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Solution

The third proportional to 188,875.13 and 409,687.88 is: 888,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,875.13 : 409,687.88 = 409,687.88 : x
  2. Step 2: Convert to fraction form
    188,875.13/409,687.88 = 409,687.88/x
  3. Step 3: Cross multiply
    188,875.13x = 409,687.88 × 409,687.88
  4. Step 4: Simplify right side
    188,875.13x = 167,844,154,922.02
  5. Step 5: Solve for x
    x = 167,844,154,922.02/188,875.13
  6. Step 6: Final answer
    x = 888,651.46

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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.