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Finding the Third Proportional to 166,298 and 354,708

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Solution

The third proportional to 166,298 and 354,708 is: 756,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,298 : 354,708 = 354,708 : x
  2. Step 2: Convert to fraction form
    166,298/354,708 = 354,708/x
  3. Step 3: Cross multiply
    166,298x = 354,708 × 354,708
  4. Step 4: Simplify right side
    166,298x = 125,817,765,264
  5. Step 5: Solve for x
    x = 125,817,765,264/166,298
  6. Step 6: Final answer
    x = 756,580.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.