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Finding the Third Proportional to 82,248 and 170,322

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Solution

The third proportional to 82,248 and 170,322 is: 352,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248 : 170,322 = 170,322 : x
  2. Step 2: Convert to fraction form
    82,248/170,322 = 170,322/x
  3. Step 3: Cross multiply
    82,248x = 170,322 × 170,322
  4. Step 4: Simplify right side
    82,248x = 29,009,583,684
  5. Step 5: Solve for x
    x = 29,009,583,684/82,248
  6. Step 6: Final answer
    x = 352,708.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.