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Finding the Third Proportional to 166,270 and 344,364

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Solution

The third proportional to 166,270 and 344,364 is: 713,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,270 : 344,364 = 344,364 : x
  2. Step 2: Convert to fraction form
    166,270/344,364 = 344,364/x
  3. Step 3: Cross multiply
    166,270x = 344,364 × 344,364
  4. Step 4: Simplify right side
    166,270x = 118,586,564,496
  5. Step 5: Solve for x
    x = 118,586,564,496/166,270
  6. Step 6: Final answer
    x = 713,216.84

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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.