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Finding the Third Proportional to 138,998 and 305,061

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Solution

The third proportional to 138,998 and 305,061 is: 669,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,998 : 305,061 = 305,061 : x
  2. Step 2: Convert to fraction form
    138,998/305,061 = 305,061/x
  3. Step 3: Cross multiply
    138,998x = 305,061 × 305,061
  4. Step 4: Simplify right side
    138,998x = 93,062,213,721
  5. Step 5: Solve for x
    x = 93,062,213,721/138,998
  6. Step 6: Final answer
    x = 669,521.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.