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Finding the Third Proportional to 110,859 and 243,862.50

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Solution

The third proportional to 110,859 and 243,862.50 is: 536,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859 : 243,862.50 = 243,862.50 : x
  2. Step 2: Convert to fraction form
    110,859/243,862.50 = 243,862.50/x
  3. Step 3: Cross multiply
    110,859x = 243,862.50 × 243,862.50
  4. Step 4: Simplify right side
    110,859x = 59,468,918,906.25
  5. Step 5: Solve for x
    x = 59,468,918,906.25/110,859
  6. Step 6: Final answer
    x = 536,437.45

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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.