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Finding the Third Proportional to 177,648 and 265,926

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Solution

The third proportional to 177,648 and 265,926 is: 398,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,648 : 265,926 = 265,926 : x
  2. Step 2: Convert to fraction form
    177,648/265,926 = 265,926/x
  3. Step 3: Cross multiply
    177,648x = 265,926 × 265,926
  4. Step 4: Simplify right side
    177,648x = 70,716,637,476
  5. Step 5: Solve for x
    x = 70,716,637,476/177,648
  6. Step 6: Final answer
    x = 398,071.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.