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Finding the Third Proportional to 232,753 and 355,898

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Solution

The third proportional to 232,753 and 355,898 is: 544,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,753 : 355,898 = 355,898 : x
  2. Step 2: Convert to fraction form
    232,753/355,898 = 355,898/x
  3. Step 3: Cross multiply
    232,753x = 355,898 × 355,898
  4. Step 4: Simplify right side
    232,753x = 126,663,386,404
  5. Step 5: Solve for x
    x = 126,663,386,404/232,753
  6. Step 6: Final answer
    x = 544,196.58

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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.