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Finding the Third Proportional to 171,805 and 265,484

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Solution

The third proportional to 171,805 and 265,484 is: 410,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,805 : 265,484 = 265,484 : x
  2. Step 2: Convert to fraction form
    171,805/265,484 = 265,484/x
  3. Step 3: Cross multiply
    171,805x = 265,484 × 265,484
  4. Step 4: Simplify right side
    171,805x = 70,481,754,256
  5. Step 5: Solve for x
    x = 70,481,754,256/171,805
  6. Step 6: Final answer
    x = 410,242.74

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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.