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Finding the Third Proportional to 246.02 and 534.76

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Solution

The third proportional to 246.02 and 534.76 is: 1,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.02 : 534.76 = 534.76 : x
  2. Step 2: Convert to fraction form
    246.02/534.76 = 534.76/x
  3. Step 3: Cross multiply
    246.02x = 534.76 × 534.76
  4. Step 4: Simplify right side
    246.02x = 285,970.10
  5. Step 5: Solve for x
    x = 285,970.10/246.02
  6. Step 6: Final answer
    x = 1,162.37

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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.