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Finding the Third Proportional to 166,569 and 366,346

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Solution

The third proportional to 166,569 and 366,346 is: 805,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,569 : 366,346 = 366,346 : x
  2. Step 2: Convert to fraction form
    166,569/366,346 = 366,346/x
  3. Step 3: Cross multiply
    166,569x = 366,346 × 366,346
  4. Step 4: Simplify right side
    166,569x = 134,209,391,716
  5. Step 5: Solve for x
    x = 134,209,391,716/166,569
  6. Step 6: Final answer
    x = 805,728.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.