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Finding the Third Proportional to 268.10 and 403.52

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Solution

The third proportional to 268.10 and 403.52 is: 607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.10 : 403.52 = 403.52 : x
  2. Step 2: Convert to fraction form
    268.10/403.52 = 403.52/x
  3. Step 3: Cross multiply
    268.10x = 403.52 × 403.52
  4. Step 4: Simplify right side
    268.10x = 162,831.16
  5. Step 5: Solve for x
    x = 162,831.16/268.10
  6. Step 6: Final answer
    x = 607.35

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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.