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Finding the Third Proportional to 179,642 and 299,415

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Solution

The third proportional to 179,642 and 299,415 is: 499,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,642 : 299,415 = 299,415 : x
  2. Step 2: Convert to fraction form
    179,642/299,415 = 299,415/x
  3. Step 3: Cross multiply
    179,642x = 299,415 × 299,415
  4. Step 4: Simplify right side
    179,642x = 89,649,342,225
  5. Step 5: Solve for x
    x = 89,649,342,225/179,642
  6. Step 6: Final answer
    x = 499,044.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.