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Finding the Third Proportional to 190,241 and 294,979

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Solution

The third proportional to 190,241 and 294,979 is: 457,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,241 : 294,979 = 294,979 : x
  2. Step 2: Convert to fraction form
    190,241/294,979 = 294,979/x
  3. Step 3: Cross multiply
    190,241x = 294,979 × 294,979
  4. Step 4: Simplify right side
    190,241x = 87,012,610,441
  5. Step 5: Solve for x
    x = 87,012,610,441/190,241
  6. Step 6: Final answer
    x = 457,380.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.