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Finding the Third Proportional to 166,502 and 260,913

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Solution

The third proportional to 166,502 and 260,913 is: 408,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,502 : 260,913 = 260,913 : x
  2. Step 2: Convert to fraction form
    166,502/260,913 = 260,913/x
  3. Step 3: Cross multiply
    166,502x = 260,913 × 260,913
  4. Step 4: Simplify right side
    166,502x = 68,075,593,569
  5. Step 5: Solve for x
    x = 68,075,593,569/166,502
  6. Step 6: Final answer
    x = 408,857.51

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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.