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Finding the Third Proportional to 166,322 and 295,708

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Solution

The third proportional to 166,322 and 295,708 is: 525,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,322 : 295,708 = 295,708 : x
  2. Step 2: Convert to fraction form
    166,322/295,708 = 295,708/x
  3. Step 3: Cross multiply
    166,322x = 295,708 × 295,708
  4. Step 4: Simplify right side
    166,322x = 87,443,221,264
  5. Step 5: Solve for x
    x = 87,443,221,264/166,322
  6. Step 6: Final answer
    x = 525,746.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.