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Finding the Third Proportional to 135,957 and 293,793

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Solution

The third proportional to 135,957 and 293,793 is: 634,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957 : 293,793 = 293,793 : x
  2. Step 2: Convert to fraction form
    135,957/293,793 = 293,793/x
  3. Step 3: Cross multiply
    135,957x = 293,793 × 293,793
  4. Step 4: Simplify right side
    135,957x = 86,314,326,849
  5. Step 5: Solve for x
    x = 86,314,326,849/135,957
  6. Step 6: Final answer
    x = 634,864.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.