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Finding the Third Proportional to 108,740 and 238,864

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Solution

The third proportional to 108,740 and 238,864 is: 524,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,740 : 238,864 = 238,864 : x
  2. Step 2: Convert to fraction form
    108,740/238,864 = 238,864/x
  3. Step 3: Cross multiply
    108,740x = 238,864 × 238,864
  4. Step 4: Simplify right side
    108,740x = 57,056,010,496
  5. Step 5: Solve for x
    x = 57,056,010,496/108,740
  6. Step 6: Final answer
    x = 524,701.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.