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Finding the Third Proportional to 110,865 and 243,190

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Solution

The third proportional to 110,865 and 243,190 is: 533,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,865 : 243,190 = 243,190 : x
  2. Step 2: Convert to fraction form
    110,865/243,190 = 243,190/x
  3. Step 3: Cross multiply
    110,865x = 243,190 × 243,190
  4. Step 4: Simplify right side
    110,865x = 59,141,376,100
  5. Step 5: Solve for x
    x = 59,141,376,100/110,865
  6. Step 6: Final answer
    x = 533,453.99

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Why These Related Problems?

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