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Finding the Third Proportional to 188,700 and 279,522

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Solution

The third proportional to 188,700 and 279,522 is: 414,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,700 : 279,522 = 279,522 : x
  2. Step 2: Convert to fraction form
    188,700/279,522 = 279,522/x
  3. Step 3: Cross multiply
    188,700x = 279,522 × 279,522
  4. Step 4: Simplify right side
    188,700x = 78,132,548,484
  5. Step 5: Solve for x
    x = 78,132,548,484/188,700
  6. Step 6: Final answer
    x = 414,056.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.