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Finding the Third Proportional to 144,826 and 302,882

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Solution

The third proportional to 144,826 and 302,882 is: 633,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,826 : 302,882 = 302,882 : x
  2. Step 2: Convert to fraction form
    144,826/302,882 = 302,882/x
  3. Step 3: Cross multiply
    144,826x = 302,882 × 302,882
  4. Step 4: Simplify right side
    144,826x = 91,737,505,924
  5. Step 5: Solve for x
    x = 91,737,505,924/144,826
  6. Step 6: Final answer
    x = 633,432.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.