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Finding the Third Proportional to 106,063.50 and 228,731

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Solution

The third proportional to 106,063.50 and 228,731 is: 493,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,063.50 : 228,731 = 228,731 : x
  2. Step 2: Convert to fraction form
    106,063.50/228,731 = 228,731/x
  3. Step 3: Cross multiply
    106,063.50x = 228,731 × 228,731
  4. Step 4: Simplify right side
    106,063.50x = 52,317,870,361
  5. Step 5: Solve for x
    x = 52,317,870,361/106,063.50
  6. Step 6: Final answer
    x = 493,269.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.