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Finding the Third Proportional to 183,856 and 260,166

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Solution

The third proportional to 183,856 and 260,166 is: 368,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,856 : 260,166 = 260,166 : x
  2. Step 2: Convert to fraction form
    183,856/260,166 = 260,166/x
  3. Step 3: Cross multiply
    183,856x = 260,166 × 260,166
  4. Step 4: Simplify right side
    183,856x = 67,686,347,556
  5. Step 5: Solve for x
    x = 67,686,347,556/183,856
  6. Step 6: Final answer
    x = 368,148.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.