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Finding the Third Proportional to 230,011.13 and 353,046.94

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Solution

The third proportional to 230,011.13 and 353,046.94 is: 541,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,011.13 : 353,046.94 = 353,046.94 : x
  2. Step 2: Convert to fraction form
    230,011.13/353,046.94 = 353,046.94/x
  3. Step 3: Cross multiply
    230,011.13x = 353,046.94 × 353,046.94
  4. Step 4: Simplify right side
    230,011.13x = 124,642,140,078.13
  5. Step 5: Solve for x
    x = 124,642,140,078.13/230,011.13
  6. Step 6: Final answer
    x = 541,896.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.