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Finding the Third Proportional to 180,913.50 and 270,003.38

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Solution

The third proportional to 180,913.50 and 270,003.38 is: 402,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,913.50 : 270,003.38 = 270,003.38 : x
  2. Step 2: Convert to fraction form
    180,913.50/270,003.38 = 270,003.38/x
  3. Step 3: Cross multiply
    180,913.50x = 270,003.38 × 270,003.38
  4. Step 4: Simplify right side
    180,913.50x = 72,901,822,511.39
  5. Step 5: Solve for x
    x = 72,901,822,511.39/180,913.50
  6. Step 6: Final answer
    x = 402,965.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.