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Finding the Third Proportional to 232,497.84 and 355,672.27

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Solution

The third proportional to 232,497.84 and 355,672.27 is: 544,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497.84 : 355,672.27 = 355,672.27 : x
  2. Step 2: Convert to fraction form
    232,497.84/355,672.27 = 355,672.27/x
  3. Step 3: Cross multiply
    232,497.84x = 355,672.27 × 355,672.27
  4. Step 4: Simplify right side
    232,497.84x = 126,502,760,534.82
  5. Step 5: Solve for x
    x = 126,502,760,534.82/232,497.84
  6. Step 6: Final answer
    x = 544,102.94

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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.