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Finding the Third Proportional to 110,796 and 243,132.75

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Solution

The third proportional to 110,796 and 243,132.75 is: 533,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,796 : 243,132.75 = 243,132.75 : x
  2. Step 2: Convert to fraction form
    110,796/243,132.75 = 243,132.75/x
  3. Step 3: Cross multiply
    110,796x = 243,132.75 × 243,132.75
  4. Step 4: Simplify right side
    110,796x = 59,113,534,122.56
  5. Step 5: Solve for x
    x = 59,113,534,122.56/110,796
  6. Step 6: Final answer
    x = 533,534.91

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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.