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Finding the Third Proportional to 171,050 and 265,498

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Solution

The third proportional to 171,050 and 265,498 is: 412,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,050 : 265,498 = 265,498 : x
  2. Step 2: Convert to fraction form
    171,050/265,498 = 265,498/x
  3. Step 3: Cross multiply
    171,050x = 265,498 × 265,498
  4. Step 4: Simplify right side
    171,050x = 70,489,188,004
  5. Step 5: Solve for x
    x = 70,489,188,004/171,050
  6. Step 6: Final answer
    x = 412,096.98

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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.