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Finding the Third Proportional to 174,461 and 251,524

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Solution

The third proportional to 174,461 and 251,524 is: 362,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,461 : 251,524 = 251,524 : x
  2. Step 2: Convert to fraction form
    174,461/251,524 = 251,524/x
  3. Step 3: Cross multiply
    174,461x = 251,524 × 251,524
  4. Step 4: Simplify right side
    174,461x = 63,264,322,576
  5. Step 5: Solve for x
    x = 63,264,322,576/174,461
  6. Step 6: Final answer
    x = 362,627.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.