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Finding the Third Proportional to 110,754 and 243,660

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Solution

The third proportional to 110,754 and 243,660 is: 536,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,754 : 243,660 = 243,660 : x
  2. Step 2: Convert to fraction form
    110,754/243,660 = 243,660/x
  3. Step 3: Cross multiply
    110,754x = 243,660 × 243,660
  4. Step 4: Simplify right side
    110,754x = 59,370,195,600
  5. Step 5: Solve for x
    x = 59,370,195,600/110,754
  6. Step 6: Final answer
    x = 536,054.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.