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Finding the Third Proportional to 171,646 and 265,557

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Solution

The third proportional to 171,646 and 265,557 is: 410,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,646 : 265,557 = 265,557 : x
  2. Step 2: Convert to fraction form
    171,646/265,557 = 265,557/x
  3. Step 3: Cross multiply
    171,646x = 265,557 × 265,557
  4. Step 4: Simplify right side
    171,646x = 70,520,520,249
  5. Step 5: Solve for x
    x = 70,520,520,249/171,646
  6. Step 6: Final answer
    x = 410,848.61

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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.