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Finding the Third Proportional to 246.84 and 370.90

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Solution

The third proportional to 246.84 and 370.90 is: 557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.84 : 370.90 = 370.90 : x
  2. Step 2: Convert to fraction form
    246.84/370.90 = 370.90/x
  3. Step 3: Cross multiply
    246.84x = 370.90 × 370.90
  4. Step 4: Simplify right side
    246.84x = 137,565.65
  5. Step 5: Solve for x
    x = 137,565.65/246.84
  6. Step 6: Final answer
    x = 557.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.