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Finding the Third Proportional to 166,272 and 344,370

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Solution

The third proportional to 166,272 and 344,370 is: 713,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,272 : 344,370 = 344,370 : x
  2. Step 2: Convert to fraction form
    166,272/344,370 = 344,370/x
  3. Step 3: Cross multiply
    166,272x = 344,370 × 344,370
  4. Step 4: Simplify right side
    166,272x = 118,590,696,900
  5. Step 5: Solve for x
    x = 118,590,696,900/166,272
  6. Step 6: Final answer
    x = 713,233.12

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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.