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Finding the Third Proportional to 166,278 and 344,382

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Solution

The third proportional to 166,278 and 344,382 is: 713,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,278 : 344,382 = 344,382 : x
  2. Step 2: Convert to fraction form
    166,278/344,382 = 344,382/x
  3. Step 3: Cross multiply
    166,278x = 344,382 × 344,382
  4. Step 4: Simplify right side
    166,278x = 118,598,961,924
  5. Step 5: Solve for x
    x = 118,598,961,924/166,278
  6. Step 6: Final answer
    x = 713,257.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.