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Finding the Third Proportional to 232,822.69 and 356,923.13

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Solution

The third proportional to 232,822.69 and 356,923.13 is: 547,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,822.69 : 356,923.13 = 356,923.13 : x
  2. Step 2: Convert to fraction form
    232,822.69/356,923.13 = 356,923.13/x
  3. Step 3: Cross multiply
    232,822.69x = 356,923.13 × 356,923.13
  4. Step 4: Simplify right side
    232,822.69x = 127,394,117,159.77
  5. Step 5: Solve for x
    x = 127,394,117,159.77/232,822.69
  6. Step 6: Final answer
    x = 547,172.26

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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.