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Finding the Third Proportional to 146,886 and 302,466

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Solution

The third proportional to 146,886 and 302,466 is: 622,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,886 : 302,466 = 302,466 : x
  2. Step 2: Convert to fraction form
    146,886/302,466 = 302,466/x
  3. Step 3: Cross multiply
    146,886x = 302,466 × 302,466
  4. Step 4: Simplify right side
    146,886x = 91,485,681,156
  5. Step 5: Solve for x
    x = 91,485,681,156/146,886
  6. Step 6: Final answer
    x = 622,834.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.