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Finding the Third Proportional to 82,254 and 170,334

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Solution

The third proportional to 82,254 and 170,334 is: 352,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,254 : 170,334 = 170,334 : x
  2. Step 2: Convert to fraction form
    82,254/170,334 = 170,334/x
  3. Step 3: Cross multiply
    82,254x = 170,334 × 170,334
  4. Step 4: Simplify right side
    82,254x = 29,013,671,556
  5. Step 5: Solve for x
    x = 29,013,671,556/82,254
  6. Step 6: Final answer
    x = 352,732.65

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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.