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Finding the Third Proportional to 174,950 and 252,871

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Solution

The third proportional to 174,950 and 252,871 is: 365,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,950 : 252,871 = 252,871 : x
  2. Step 2: Convert to fraction form
    174,950/252,871 = 252,871/x
  3. Step 3: Cross multiply
    174,950x = 252,871 × 252,871
  4. Step 4: Simplify right side
    174,950x = 63,943,742,641
  5. Step 5: Solve for x
    x = 63,943,742,641/174,950
  6. Step 6: Final answer
    x = 365,497.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.