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Finding the Third Proportional to 166,459 and 260,844

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Solution

The third proportional to 166,459 and 260,844 is: 408,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,459 : 260,844 = 260,844 : x
  2. Step 2: Convert to fraction form
    166,459/260,844 = 260,844/x
  3. Step 3: Cross multiply
    166,459x = 260,844 × 260,844
  4. Step 4: Simplify right side
    166,459x = 68,039,592,336
  5. Step 5: Solve for x
    x = 68,039,592,336/166,459
  6. Step 6: Final answer
    x = 408,746.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.