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Finding the Third Proportional to 174,960 and 262,392

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Solution

The third proportional to 174,960 and 262,392 is: 393,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,960 : 262,392 = 262,392 : x
  2. Step 2: Convert to fraction form
    174,960/262,392 = 262,392/x
  3. Step 3: Cross multiply
    174,960x = 262,392 × 262,392
  4. Step 4: Simplify right side
    174,960x = 68,849,561,664
  5. Step 5: Solve for x
    x = 68,849,561,664/174,960
  6. Step 6: Final answer
    x = 393,516.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.