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Finding the Third Proportional to 229,213.13 and 501,022.13

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Solution

The third proportional to 229,213.13 and 501,022.13 is: 1,095,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,213.13 : 501,022.13 = 501,022.13 : x
  2. Step 2: Convert to fraction form
    229,213.13/501,022.13 = 501,022.13/x
  3. Step 3: Cross multiply
    229,213.13x = 501,022.13 × 501,022.13
  4. Step 4: Simplify right side
    229,213.13x = 251,023,169,739.52
  5. Step 5: Solve for x
    x = 251,023,169,739.52/229,213.13
  6. Step 6: Final answer
    x = 1,095,151.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.