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Finding the Third Proportional to 207,235.13 and 320,010.75

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Solution

The third proportional to 207,235.13 and 320,010.75 is: 494,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235.13 : 320,010.75 = 320,010.75 : x
  2. Step 2: Convert to fraction form
    207,235.13/320,010.75 = 320,010.75/x
  3. Step 3: Cross multiply
    207,235.13x = 320,010.75 × 320,010.75
  4. Step 4: Simplify right side
    207,235.13x = 102,406,880,115.56
  5. Step 5: Solve for x
    x = 102,406,880,115.56/207,235.13
  6. Step 6: Final answer
    x = 494,157.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.