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Finding the Third Proportional to 171,166.50 and 251,903.25

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Solution

The third proportional to 171,166.50 and 251,903.25 is: 370,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,166.50 : 251,903.25 = 251,903.25 : x
  2. Step 2: Convert to fraction form
    171,166.50/251,903.25 = 251,903.25/x
  3. Step 3: Cross multiply
    171,166.50x = 251,903.25 × 251,903.25
  4. Step 4: Simplify right side
    171,166.50x = 63,455,247,360.56
  5. Step 5: Solve for x
    x = 63,455,247,360.56/171,166.50
  6. Step 6: Final answer
    x = 370,722.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.