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Finding the Third Proportional to 210.94 and 442.69

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Solution

The third proportional to 210.94 and 442.69 is: 929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 442.69 = 442.69 : x
  2. Step 2: Convert to fraction form
    210.94/442.69 = 442.69/x
  3. Step 3: Cross multiply
    210.94x = 442.69 × 442.69
  4. Step 4: Simplify right side
    210.94x = 195,972.22
  5. Step 5: Solve for x
    x = 195,972.22/210.94
  6. Step 6: Final answer
    x = 929.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.