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Finding the Third Proportional to 167,112 and 345,294

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Solution

The third proportional to 167,112 and 345,294 is: 713,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,112 : 345,294 = 345,294 : x
  2. Step 2: Convert to fraction form
    167,112/345,294 = 345,294/x
  3. Step 3: Cross multiply
    167,112x = 345,294 × 345,294
  4. Step 4: Simplify right side
    167,112x = 119,227,946,436
  5. Step 5: Solve for x
    x = 119,227,946,436/167,112
  6. Step 6: Final answer
    x = 713,461.31

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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.