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Finding the Third Proportional to 142,166 and 306,202

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Solution

The third proportional to 142,166 and 306,202 is: 659,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,166 : 306,202 = 306,202 : x
  2. Step 2: Convert to fraction form
    142,166/306,202 = 306,202/x
  3. Step 3: Cross multiply
    142,166x = 306,202 × 306,202
  4. Step 4: Simplify right side
    142,166x = 93,759,664,804
  5. Step 5: Solve for x
    x = 93,759,664,804/142,166
  6. Step 6: Final answer
    x = 659,508.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.