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Finding the Third Proportional to 174,977 and 265,928

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Solution

The third proportional to 174,977 and 265,928 is: 404,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,977 : 265,928 = 265,928 : x
  2. Step 2: Convert to fraction form
    174,977/265,928 = 265,928/x
  3. Step 3: Cross multiply
    174,977x = 265,928 × 265,928
  4. Step 4: Simplify right side
    174,977x = 70,717,701,184
  5. Step 5: Solve for x
    x = 70,717,701,184/174,977
  6. Step 6: Final answer
    x = 404,154.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.