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Finding the Third Proportional to 110,419.88 and 238,325.63

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Solution

The third proportional to 110,419.88 and 238,325.63 is: 514,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.88 : 238,325.63 = 238,325.63 : x
  2. Step 2: Convert to fraction form
    110,419.88/238,325.63 = 238,325.63/x
  3. Step 3: Cross multiply
    110,419.88x = 238,325.63 × 238,325.63
  4. Step 4: Simplify right side
    110,419.88x = 56,799,103,531.64
  5. Step 5: Solve for x
    x = 56,799,103,531.64/110,419.88
  6. Step 6: Final answer
    x = 514,392.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.