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Finding the Third Proportional to 262,054.50 and 395,255.25

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Solution

The third proportional to 262,054.50 and 395,255.25 is: 596,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,054.50 : 395,255.25 = 395,255.25 : x
  2. Step 2: Convert to fraction form
    262,054.50/395,255.25 = 395,255.25/x
  3. Step 3: Cross multiply
    262,054.50x = 395,255.25 × 395,255.25
  4. Step 4: Simplify right side
    262,054.50x = 156,226,712,652.56
  5. Step 5: Solve for x
    x = 156,226,712,652.56/262,054.50
  6. Step 6: Final answer
    x = 596,161.15

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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.