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Finding the Third Proportional to 166,838 and 258,552

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Solution

The third proportional to 166,838 and 258,552 is: 400,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,838 : 258,552 = 258,552 : x
  2. Step 2: Convert to fraction form
    166,838/258,552 = 258,552/x
  3. Step 3: Cross multiply
    166,838x = 258,552 × 258,552
  4. Step 4: Simplify right side
    166,838x = 66,849,136,704
  5. Step 5: Solve for x
    x = 66,849,136,704/166,838
  6. Step 6: Final answer
    x = 400,682.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.