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Finding the Third Proportional to 82,322 and 170,292

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Solution

The third proportional to 82,322 and 170,292 is: 352,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322 : 170,292 = 170,292 : x
  2. Step 2: Convert to fraction form
    82,322/170,292 = 170,292/x
  3. Step 3: Cross multiply
    82,322x = 170,292 × 170,292
  4. Step 4: Simplify right side
    82,322x = 28,999,365,264
  5. Step 5: Solve for x
    x = 28,999,365,264/82,322
  6. Step 6: Final answer
    x = 352,267.50

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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.