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Finding the Third Proportional to 110,218 and 240,120

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Solution

The third proportional to 110,218 and 240,120 is: 523,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,218 : 240,120 = 240,120 : x
  2. Step 2: Convert to fraction form
    110,218/240,120 = 240,120/x
  3. Step 3: Cross multiply
    110,218x = 240,120 × 240,120
  4. Step 4: Simplify right side
    110,218x = 57,657,614,400
  5. Step 5: Solve for x
    x = 57,657,614,400/110,218
  6. Step 6: Final answer
    x = 523,123.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.