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Finding the Third Proportional to 193,644 and 320,010.75

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Solution

The third proportional to 193,644 and 320,010.75 is: 528,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,644 : 320,010.75 = 320,010.75 : x
  2. Step 2: Convert to fraction form
    193,644/320,010.75 = 320,010.75/x
  3. Step 3: Cross multiply
    193,644x = 320,010.75 × 320,010.75
  4. Step 4: Simplify right side
    193,644x = 102,406,880,115.56
  5. Step 5: Solve for x
    x = 102,406,880,115.56/193,644
  6. Step 6: Final answer
    x = 528,840.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.