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Finding the Third Proportional to 142,018 and 306,177

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Solution

The third proportional to 142,018 and 306,177 is: 660,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,018 : 306,177 = 306,177 : x
  2. Step 2: Convert to fraction form
    142,018/306,177 = 306,177/x
  3. Step 3: Cross multiply
    142,018x = 306,177 × 306,177
  4. Step 4: Simplify right side
    142,018x = 93,744,355,329
  5. Step 5: Solve for x
    x = 93,744,355,329/142,018
  6. Step 6: Final answer
    x = 660,087.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.