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Finding the Third Proportional to 237.94 and 510.84

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Solution

The third proportional to 237.94 and 510.84 is: 1,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 510.84 = 510.84 : x
  2. Step 2: Convert to fraction form
    237.94/510.84 = 510.84/x
  3. Step 3: Cross multiply
    237.94x = 510.84 × 510.84
  4. Step 4: Simplify right side
    237.94x = 260,961.34
  5. Step 5: Solve for x
    x = 260,961.34/237.94
  6. Step 6: Final answer
    x = 1,096.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.