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Finding the Third Proportional to 108,837.42 and 238,639.29

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Solution

The third proportional to 108,837.42 and 238,639.29 is: 523,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,837.42 : 238,639.29 = 238,639.29 : x
  2. Step 2: Convert to fraction form
    108,837.42/238,639.29 = 238,639.29/x
  3. Step 3: Cross multiply
    108,837.42x = 238,639.29 × 238,639.29
  4. Step 4: Simplify right side
    108,837.42x = 56,948,710,284.26
  5. Step 5: Solve for x
    x = 56,948,710,284.26/108,837.42
  6. Step 6: Final answer
    x = 523,245.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.