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Finding the Third Proportional to 141,609.50 and 227,905

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Solution

The third proportional to 141,609.50 and 227,905 is: 366,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,609.50 : 227,905 = 227,905 : x
  2. Step 2: Convert to fraction form
    141,609.50/227,905 = 227,905/x
  3. Step 3: Cross multiply
    141,609.50x = 227,905 × 227,905
  4. Step 4: Simplify right side
    141,609.50x = 51,940,689,025
  5. Step 5: Solve for x
    x = 51,940,689,025/141,609.50
  6. Step 6: Final answer
    x = 366,788.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.