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Finding the Third Proportional to 172,420 and 265,926

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Solution

The third proportional to 172,420 and 265,926 is: 410,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,420 : 265,926 = 265,926 : x
  2. Step 2: Convert to fraction form
    172,420/265,926 = 265,926/x
  3. Step 3: Cross multiply
    172,420x = 265,926 × 265,926
  4. Step 4: Simplify right side
    172,420x = 70,716,637,476
  5. Step 5: Solve for x
    x = 70,716,637,476/172,420
  6. Step 6: Final answer
    x = 410,141.73

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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.