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Finding the Third Proportional to 285.75 and 432.42

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Solution

The third proportional to 285.75 and 432.42 is: 654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 432.42 = 432.42 : x
  2. Step 2: Convert to fraction form
    285.75/432.42 = 432.42/x
  3. Step 3: Cross multiply
    285.75x = 432.42 × 432.42
  4. Step 4: Simplify right side
    285.75x = 186,988.68
  5. Step 5: Solve for x
    x = 186,988.68/285.75
  6. Step 6: Final answer
    x = 654.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.