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Finding the Third Proportional to 188,391 and 283,008

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Solution

The third proportional to 188,391 and 283,008 is: 425,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,391 : 283,008 = 283,008 : x
  2. Step 2: Convert to fraction form
    188,391/283,008 = 283,008/x
  3. Step 3: Cross multiply
    188,391x = 283,008 × 283,008
  4. Step 4: Simplify right side
    188,391x = 80,093,528,064
  5. Step 5: Solve for x
    x = 80,093,528,064/188,391
  6. Step 6: Final answer
    x = 425,145.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.