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Finding the Third Proportional to 140,222 and 306,144

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Solution

The third proportional to 140,222 and 306,144 is: 668,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,222 : 306,144 = 306,144 : x
  2. Step 2: Convert to fraction form
    140,222/306,144 = 306,144/x
  3. Step 3: Cross multiply
    140,222x = 306,144 × 306,144
  4. Step 4: Simplify right side
    140,222x = 93,724,148,736
  5. Step 5: Solve for x
    x = 93,724,148,736/140,222
  6. Step 6: Final answer
    x = 668,398.32

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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.