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Finding the Third Proportional to 171,064 and 251,350

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Solution

The third proportional to 171,064 and 251,350 is: 369,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064 : 251,350 = 251,350 : x
  2. Step 2: Convert to fraction form
    171,064/251,350 = 251,350/x
  3. Step 3: Cross multiply
    171,064x = 251,350 × 251,350
  4. Step 4: Simplify right side
    171,064x = 63,176,822,500
  5. Step 5: Solve for x
    x = 63,176,822,500/171,064
  6. Step 6: Final answer
    x = 369,316.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.