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Finding the Third Proportional to 232,766 and 355,897

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Solution

The third proportional to 232,766 and 355,897 is: 544,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,766 : 355,897 = 355,897 : x
  2. Step 2: Convert to fraction form
    232,766/355,897 = 355,897/x
  3. Step 3: Cross multiply
    232,766x = 355,897 × 355,897
  4. Step 4: Simplify right side
    232,766x = 126,662,674,609
  5. Step 5: Solve for x
    x = 126,662,674,609/232,766
  6. Step 6: Final answer
    x = 544,163.13

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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.