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Finding the Third Proportional to 171,956 and 265,606

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Solution

The third proportional to 171,956 and 265,606 is: 410,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,956 : 265,606 = 265,606 : x
  2. Step 2: Convert to fraction form
    171,956/265,606 = 265,606/x
  3. Step 3: Cross multiply
    171,956x = 265,606 × 265,606
  4. Step 4: Simplify right side
    171,956x = 70,546,547,236
  5. Step 5: Solve for x
    x = 70,546,547,236/171,956
  6. Step 6: Final answer
    x = 410,259.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.