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Finding the Third Proportional to 238,052.67 and 364,551.26

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Solution

The third proportional to 238,052.67 and 364,551.26 is: 558,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,052.67 : 364,551.26 = 364,551.26 : x
  2. Step 2: Convert to fraction form
    238,052.67/364,551.26 = 364,551.26/x
  3. Step 3: Cross multiply
    238,052.67x = 364,551.26 × 364,551.26
  4. Step 4: Simplify right side
    238,052.67x = 132,897,619,572.68
  5. Step 5: Solve for x
    x = 132,897,619,572.68/238,052.67
  6. Step 6: Final answer
    x = 558,269.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.