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Finding the Third Proportional to 166,688 and 359,620

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Solution

The third proportional to 166,688 and 359,620 is: 775,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,688 : 359,620 = 359,620 : x
  2. Step 2: Convert to fraction form
    166,688/359,620 = 359,620/x
  3. Step 3: Cross multiply
    166,688x = 359,620 × 359,620
  4. Step 4: Simplify right side
    166,688x = 129,326,544,400
  5. Step 5: Solve for x
    x = 129,326,544,400/166,688
  6. Step 6: Final answer
    x = 775,859.96

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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.