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Finding the Third Proportional to 195,833 and 293,007

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Solution

The third proportional to 195,833 and 293,007 is: 438,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,833 : 293,007 = 293,007 : x
  2. Step 2: Convert to fraction form
    195,833/293,007 = 293,007/x
  3. Step 3: Cross multiply
    195,833x = 293,007 × 293,007
  4. Step 4: Simplify right side
    195,833x = 85,853,102,049
  5. Step 5: Solve for x
    x = 85,853,102,049/195,833
  6. Step 6: Final answer
    x = 438,399.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.