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Finding the Third Proportional to 238,827 and 348,395.63

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Solution

The third proportional to 238,827 and 348,395.63 is: 508,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,827 : 348,395.63 = 348,395.63 : x
  2. Step 2: Convert to fraction form
    238,827/348,395.63 = 348,395.63/x
  3. Step 3: Cross multiply
    238,827x = 348,395.63 × 348,395.63
  4. Step 4: Simplify right side
    238,827x = 121,379,511,519.14
  5. Step 5: Solve for x
    x = 121,379,511,519.14/238,827
  6. Step 6: Final answer
    x = 508,231.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.