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Finding the Third Proportional to 285.35 and 431.10

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Solution

The third proportional to 285.35 and 431.10 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 431.10 = 431.10 : x
  2. Step 2: Convert to fraction form
    285.35/431.10 = 431.10/x
  3. Step 3: Cross multiply
    285.35x = 431.10 × 431.10
  4. Step 4: Simplify right side
    285.35x = 185,850.24
  5. Step 5: Solve for x
    x = 185,850.24/285.35
  6. Step 6: Final answer
    x = 651.32

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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.