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Finding the Third Proportional to 242,029.69 and 531,829.13

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Solution

The third proportional to 242,029.69 and 531,829.13 is: 1,168,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,029.69 : 531,829.13 = 531,829.13 : x
  2. Step 2: Convert to fraction form
    242,029.69/531,829.13 = 531,829.13/x
  3. Step 3: Cross multiply
    242,029.69x = 531,829.13 × 531,829.13
  4. Step 4: Simplify right side
    242,029.69x = 282,842,218,198.27
  5. Step 5: Solve for x
    x = 282,842,218,198.27/242,029.69
  6. Step 6: Final answer
    x = 1,168,626.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.