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Finding the Third Proportional to 234.38 and 607.06

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Solution

The third proportional to 234.38 and 607.06 is: 1,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 607.06 = 607.06 : x
  2. Step 2: Convert to fraction form
    234.38/607.06 = 607.06/x
  3. Step 3: Cross multiply
    234.38x = 607.06 × 607.06
  4. Step 4: Simplify right side
    234.38x = 368,524.88
  5. Step 5: Solve for x
    x = 368,524.88/234.38
  6. Step 6: Final answer
    x = 1,572.37

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.