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Finding the Third Proportional to 285.75 and 377.06

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Solution

The third proportional to 285.75 and 377.06 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 377.06 = 377.06 : x
  2. Step 2: Convert to fraction form
    285.75/377.06 = 377.06/x
  3. Step 3: Cross multiply
    285.75x = 377.06 × 377.06
  4. Step 4: Simplify right side
    285.75x = 142,176.13
  5. Step 5: Solve for x
    x = 142,176.13/285.75
  6. Step 6: Final answer
    x = 497.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.