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Finding the Third Proportional to 141,367 and 185,807

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Solution

The third proportional to 141,367 and 185,807 is: 244,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,367 : 185,807 = 185,807 : x
  2. Step 2: Convert to fraction form
    141,367/185,807 = 185,807/x
  3. Step 3: Cross multiply
    141,367x = 185,807 × 185,807
  4. Step 4: Simplify right side
    141,367x = 34,524,241,249
  5. Step 5: Solve for x
    x = 34,524,241,249/141,367
  6. Step 6: Final answer
    x = 244,217.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.