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Finding the Third Proportional to 172,323 and 252,477

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Solution

The third proportional to 172,323 and 252,477 is: 369,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,323 : 252,477 = 252,477 : x
  2. Step 2: Convert to fraction form
    172,323/252,477 = 252,477/x
  3. Step 3: Cross multiply
    172,323x = 252,477 × 252,477
  4. Step 4: Simplify right side
    172,323x = 63,744,635,529
  5. Step 5: Solve for x
    x = 63,744,635,529/172,323
  6. Step 6: Final answer
    x = 369,913.68

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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.