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Finding the Third Proportional to 166,252 and 344,329

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Solution

The third proportional to 166,252 and 344,329 is: 713,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,252 : 344,329 = 344,329 : x
  2. Step 2: Convert to fraction form
    166,252/344,329 = 344,329/x
  3. Step 3: Cross multiply
    166,252x = 344,329 × 344,329
  4. Step 4: Simplify right side
    166,252x = 118,562,460,241
  5. Step 5: Solve for x
    x = 118,562,460,241/166,252
  6. Step 6: Final answer
    x = 713,149.08

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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.