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Finding the Third Proportional to 183,844.69 and 253,165.50

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Solution

The third proportional to 183,844.69 and 253,165.50 is: 348,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,844.69 : 253,165.50 = 253,165.50 : x
  2. Step 2: Convert to fraction form
    183,844.69/253,165.50 = 253,165.50/x
  3. Step 3: Cross multiply
    183,844.69x = 253,165.50 × 253,165.50
  4. Step 4: Simplify right side
    183,844.69x = 64,092,770,390.25
  5. Step 5: Solve for x
    x = 64,092,770,390.25/183,844.69
  6. Step 6: Final answer
    x = 348,624.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.