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Finding the Third Proportional to 79,424 and 170,365

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Solution

The third proportional to 79,424 and 170,365 is: 365,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,424 : 170,365 = 170,365 : x
  2. Step 2: Convert to fraction form
    79,424/170,365 = 170,365/x
  3. Step 3: Cross multiply
    79,424x = 170,365 × 170,365
  4. Step 4: Simplify right side
    79,424x = 29,024,233,225
  5. Step 5: Solve for x
    x = 29,024,233,225/79,424
  6. Step 6: Final answer
    x = 365,434.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.