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Finding the Third Proportional to 197,042 and 293,979

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Solution

The third proportional to 197,042 and 293,979 is: 438,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,042 : 293,979 = 293,979 : x
  2. Step 2: Convert to fraction form
    197,042/293,979 = 293,979/x
  3. Step 3: Cross multiply
    197,042x = 293,979 × 293,979
  4. Step 4: Simplify right side
    197,042x = 86,423,652,441
  5. Step 5: Solve for x
    x = 86,423,652,441/197,042
  6. Step 6: Final answer
    x = 438,605.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.