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Finding the Third Proportional to 180,442.69 and 365,259.38

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Solution

The third proportional to 180,442.69 and 365,259.38 is: 739,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,442.69 : 365,259.38 = 365,259.38 : x
  2. Step 2: Convert to fraction form
    180,442.69/365,259.38 = 365,259.38/x
  3. Step 3: Cross multiply
    180,442.69x = 365,259.38 × 365,259.38
  4. Step 4: Simplify right side
    180,442.69x = 133,414,411,025.39
  5. Step 5: Solve for x
    x = 133,414,411,025.39/180,442.69
  6. Step 6: Final answer
    x = 739,372.78

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.