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Finding the Third Proportional to 171,570 and 265,134

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Solution

The third proportional to 171,570 and 265,134 is: 409,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,570 : 265,134 = 265,134 : x
  2. Step 2: Convert to fraction form
    171,570/265,134 = 265,134/x
  3. Step 3: Cross multiply
    171,570x = 265,134 × 265,134
  4. Step 4: Simplify right side
    171,570x = 70,296,037,956
  5. Step 5: Solve for x
    x = 70,296,037,956/171,570
  6. Step 6: Final answer
    x = 409,722.20

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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.