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Finding the Third Proportional to 158,998 and 336,944

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Solution

The third proportional to 158,998 and 336,944 is: 714,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,998 : 336,944 = 336,944 : x
  2. Step 2: Convert to fraction form
    158,998/336,944 = 336,944/x
  3. Step 3: Cross multiply
    158,998x = 336,944 × 336,944
  4. Step 4: Simplify right side
    158,998x = 113,531,259,136
  5. Step 5: Solve for x
    x = 113,531,259,136/158,998
  6. Step 6: Final answer
    x = 714,042.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.