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Finding the Third Proportional to 238,304.25 and 368,026.88

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Solution

The third proportional to 238,304.25 and 368,026.88 is: 568,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,304.25 : 368,026.88 = 368,026.88 : x
  2. Step 2: Convert to fraction form
    238,304.25/368,026.88 = 368,026.88/x
  3. Step 3: Cross multiply
    238,304.25x = 368,026.88 × 368,026.88
  4. Step 4: Simplify right side
    238,304.25x = 135,443,780,722.27
  5. Step 5: Solve for x
    x = 135,443,780,722.27/238,304.25
  6. Step 6: Final answer
    x = 568,364.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.