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Finding the Third Proportional to 230,347.13 and 348,743.81

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Solution

The third proportional to 230,347.13 and 348,743.81 is: 527,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,347.13 : 348,743.81 = 348,743.81 : x
  2. Step 2: Convert to fraction form
    230,347.13/348,743.81 = 348,743.81/x
  3. Step 3: Cross multiply
    230,347.13x = 348,743.81 × 348,743.81
  4. Step 4: Simplify right side
    230,347.13x = 121,622,246,757.04
  5. Step 5: Solve for x
    x = 121,622,246,757.04/230,347.13
  6. Step 6: Final answer
    x = 527,995.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.