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Finding the Third Proportional to 110,859 and 243,180.75

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Solution

The third proportional to 110,859 and 243,180.75 is: 533,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859 : 243,180.75 = 243,180.75 : x
  2. Step 2: Convert to fraction form
    110,859/243,180.75 = 243,180.75/x
  3. Step 3: Cross multiply
    110,859x = 243,180.75 × 243,180.75
  4. Step 4: Simplify right side
    110,859x = 59,136,877,170.56
  5. Step 5: Solve for x
    x = 59,136,877,170.56/110,859
  6. Step 6: Final answer
    x = 533,442.28

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