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Finding the Third Proportional to 166,747 and 365,117

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Solution

The third proportional to 166,747 and 365,117 is: 799,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,747 : 365,117 = 365,117 : x
  2. Step 2: Convert to fraction form
    166,747/365,117 = 365,117/x
  3. Step 3: Cross multiply
    166,747x = 365,117 × 365,117
  4. Step 4: Simplify right side
    166,747x = 133,310,423,689
  5. Step 5: Solve for x
    x = 133,310,423,689/166,747
  6. Step 6: Final answer
    x = 799,477.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.