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Finding the Third Proportional to 166,216 and 363,590

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Solution

The third proportional to 166,216 and 363,590 is: 795,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,216 : 363,590 = 363,590 : x
  2. Step 2: Convert to fraction form
    166,216/363,590 = 363,590/x
  3. Step 3: Cross multiply
    166,216x = 363,590 × 363,590
  4. Step 4: Simplify right side
    166,216x = 132,197,688,100
  5. Step 5: Solve for x
    x = 132,197,688,100/166,216
  6. Step 6: Final answer
    x = 795,336.72

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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.