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Finding the Third Proportional to 109,762.50 and 228,138

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Solution

The third proportional to 109,762.50 and 228,138 is: 474,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,762.50 : 228,138 = 228,138 : x
  2. Step 2: Convert to fraction form
    109,762.50/228,138 = 228,138/x
  3. Step 3: Cross multiply
    109,762.50x = 228,138 × 228,138
  4. Step 4: Simplify right side
    109,762.50x = 52,046,947,044
  5. Step 5: Solve for x
    x = 52,046,947,044/109,762.50
  6. Step 6: Final answer
    x = 474,177.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.