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Finding the Third Proportional to 175,571 and 265,906

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Solution

The third proportional to 175,571 and 265,906 is: 402,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,571 : 265,906 = 265,906 : x
  2. Step 2: Convert to fraction form
    175,571/265,906 = 265,906/x
  3. Step 3: Cross multiply
    175,571x = 265,906 × 265,906
  4. Step 4: Simplify right side
    175,571x = 70,706,000,836
  5. Step 5: Solve for x
    x = 70,706,000,836/175,571
  6. Step 6: Final answer
    x = 402,720.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.