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Finding the Third Proportional to 191,398 and 293,793

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Solution

The third proportional to 191,398 and 293,793 is: 450,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,398 : 293,793 = 293,793 : x
  2. Step 2: Convert to fraction form
    191,398/293,793 = 293,793/x
  3. Step 3: Cross multiply
    191,398x = 293,793 × 293,793
  4. Step 4: Simplify right side
    191,398x = 86,314,326,849
  5. Step 5: Solve for x
    x = 86,314,326,849/191,398
  6. Step 6: Final answer
    x = 450,967.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.