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Finding the Third Proportional to 110,222 and 240,820

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Solution

The third proportional to 110,222 and 240,820 is: 526,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,222 : 240,820 = 240,820 : x
  2. Step 2: Convert to fraction form
    110,222/240,820 = 240,820/x
  3. Step 3: Cross multiply
    110,222x = 240,820 × 240,820
  4. Step 4: Simplify right side
    110,222x = 57,994,272,400
  5. Step 5: Solve for x
    x = 57,994,272,400/110,222
  6. Step 6: Final answer
    x = 526,158.77

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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.