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Finding the Third Proportional to 186,489 and 295,760.25

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Solution

The third proportional to 186,489 and 295,760.25 is: 469,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,489 : 295,760.25 = 295,760.25 : x
  2. Step 2: Convert to fraction form
    186,489/295,760.25 = 295,760.25/x
  3. Step 3: Cross multiply
    186,489x = 295,760.25 × 295,760.25
  4. Step 4: Simplify right side
    186,489x = 87,474,125,480.06
  5. Step 5: Solve for x
    x = 87,474,125,480.06/186,489
  6. Step 6: Final answer
    x = 469,057.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.