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Finding the Third Proportional to 166,295 and 224,737

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Solution

The third proportional to 166,295 and 224,737 is: 303,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,295 : 224,737 = 224,737 : x
  2. Step 2: Convert to fraction form
    166,295/224,737 = 224,737/x
  3. Step 3: Cross multiply
    166,295x = 224,737 × 224,737
  4. Step 4: Simplify right side
    166,295x = 50,506,719,169
  5. Step 5: Solve for x
    x = 50,506,719,169/166,295
  6. Step 6: Final answer
    x = 303,717.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.