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Finding the Third Proportional to 174,883 and 262,321

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Solution

The third proportional to 174,883 and 262,321 is: 393,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,883 : 262,321 = 262,321 : x
  2. Step 2: Convert to fraction form
    174,883/262,321 = 262,321/x
  3. Step 3: Cross multiply
    174,883x = 262,321 × 262,321
  4. Step 4: Simplify right side
    174,883x = 68,812,307,041
  5. Step 5: Solve for x
    x = 68,812,307,041/174,883
  6. Step 6: Final answer
    x = 393,476.25

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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.