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Finding the Third Proportional to 82,260 and 170,364

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Solution

The third proportional to 82,260 and 170,364 is: 352,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,260 : 170,364 = 170,364 : x
  2. Step 2: Convert to fraction form
    82,260/170,364 = 170,364/x
  3. Step 3: Cross multiply
    82,260x = 170,364 × 170,364
  4. Step 4: Simplify right side
    82,260x = 29,023,892,496
  5. Step 5: Solve for x
    x = 29,023,892,496/82,260
  6. Step 6: Final answer
    x = 352,831.18

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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.