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Finding the Third Proportional to 168,981 and 356,970

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Solution

The third proportional to 168,981 and 356,970 is: 754,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,981 : 356,970 = 356,970 : x
  2. Step 2: Convert to fraction form
    168,981/356,970 = 356,970/x
  3. Step 3: Cross multiply
    168,981x = 356,970 × 356,970
  4. Step 4: Simplify right side
    168,981x = 127,427,580,900
  5. Step 5: Solve for x
    x = 127,427,580,900/168,981
  6. Step 6: Final answer
    x = 754,094.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.