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Finding the Third Proportional to 141,035 and 203,785

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Solution

The third proportional to 141,035 and 203,785 is: 294,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,035 : 203,785 = 203,785 : x
  2. Step 2: Convert to fraction form
    141,035/203,785 = 203,785/x
  3. Step 3: Cross multiply
    141,035x = 203,785 × 203,785
  4. Step 4: Simplify right side
    141,035x = 41,528,326,225
  5. Step 5: Solve for x
    x = 41,528,326,225/141,035
  6. Step 6: Final answer
    x = 294,454.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.