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Finding the Third Proportional to 110,413 and 238,463.50

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Solution

The third proportional to 110,413 and 238,463.50 is: 515,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413 : 238,463.50 = 238,463.50 : x
  2. Step 2: Convert to fraction form
    110,413/238,463.50 = 238,463.50/x
  3. Step 3: Cross multiply
    110,413x = 238,463.50 × 238,463.50
  4. Step 4: Simplify right side
    110,413x = 56,864,840,832.25
  5. Step 5: Solve for x
    x = 56,864,840,832.25/110,413
  6. Step 6: Final answer
    x = 515,019.43

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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.