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Finding the Third Proportional to 120,222 and 263,124

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Solution

The third proportional to 120,222 and 263,124 is: 575,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222 : 263,124 = 263,124 : x
  2. Step 2: Convert to fraction form
    120,222/263,124 = 263,124/x
  3. Step 3: Cross multiply
    120,222x = 263,124 × 263,124
  4. Step 4: Simplify right side
    120,222x = 69,234,239,376
  5. Step 5: Solve for x
    x = 69,234,239,376/120,222
  6. Step 6: Final answer
    x = 575,886.60

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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.