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Finding the Third Proportional to 146,888 and 302,470

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Solution

The third proportional to 146,888 and 302,470 is: 622,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,888 : 302,470 = 302,470 : x
  2. Step 2: Convert to fraction form
    146,888/302,470 = 302,470/x
  3. Step 3: Cross multiply
    146,888x = 302,470 × 302,470
  4. Step 4: Simplify right side
    146,888x = 91,488,100,900
  5. Step 5: Solve for x
    x = 91,488,100,900/146,888
  6. Step 6: Final answer
    x = 622,842.58

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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.