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Finding the Third Proportional to 141,035 and 293,735

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Solution

The third proportional to 141,035 and 293,735 is: 611,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,035 : 293,735 = 293,735 : x
  2. Step 2: Convert to fraction form
    141,035/293,735 = 293,735/x
  3. Step 3: Cross multiply
    141,035x = 293,735 × 293,735
  4. Step 4: Simplify right side
    141,035x = 86,280,250,225
  5. Step 5: Solve for x
    x = 86,280,250,225/141,035
  6. Step 6: Final answer
    x = 611,764.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.