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Finding the Third Proportional to 82,335 and 179,397

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Solution

The third proportional to 82,335 and 179,397 is: 390,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,335 : 179,397 = 179,397 : x
  2. Step 2: Convert to fraction form
    82,335/179,397 = 179,397/x
  3. Step 3: Cross multiply
    82,335x = 179,397 × 179,397
  4. Step 4: Simplify right side
    82,335x = 32,183,283,609
  5. Step 5: Solve for x
    x = 32,183,283,609/82,335
  6. Step 6: Final answer
    x = 390,882.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.