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Finding the Third Proportional to 174,821 and 264,593

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Solution

The third proportional to 174,821 and 264,593 is: 400,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,821 : 264,593 = 264,593 : x
  2. Step 2: Convert to fraction form
    174,821/264,593 = 264,593/x
  3. Step 3: Cross multiply
    174,821x = 264,593 × 264,593
  4. Step 4: Simplify right side
    174,821x = 70,009,455,649
  5. Step 5: Solve for x
    x = 70,009,455,649/174,821
  6. Step 6: Final answer
    x = 400,463.65

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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.