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Finding the Third Proportional to 173,161 and 265,982

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Solution

The third proportional to 173,161 and 265,982 is: 408,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,161 : 265,982 = 265,982 : x
  2. Step 2: Convert to fraction form
    173,161/265,982 = 265,982/x
  3. Step 3: Cross multiply
    173,161x = 265,982 × 265,982
  4. Step 4: Simplify right side
    173,161x = 70,746,424,324
  5. Step 5: Solve for x
    x = 70,746,424,324/173,161
  6. Step 6: Final answer
    x = 408,558.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.