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Finding the Third Proportional to 180,092.25 and 260,840.25

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Solution

The third proportional to 180,092.25 and 260,840.25 is: 377,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,092.25 : 260,840.25 = 260,840.25 : x
  2. Step 2: Convert to fraction form
    180,092.25/260,840.25 = 260,840.25/x
  3. Step 3: Cross multiply
    180,092.25x = 260,840.25 × 260,840.25
  4. Step 4: Simplify right side
    180,092.25x = 68,037,636,020.06
  5. Step 5: Solve for x
    x = 68,037,636,020.06/180,092.25
  6. Step 6: Final answer
    x = 377,793.25

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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.