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Finding the Third Proportional to 174,784 and 256,392

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Solution

The third proportional to 174,784 and 256,392 is: 376,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,784 : 256,392 = 256,392 : x
  2. Step 2: Convert to fraction form
    174,784/256,392 = 256,392/x
  3. Step 3: Cross multiply
    174,784x = 256,392 × 256,392
  4. Step 4: Simplify right side
    174,784x = 65,736,857,664
  5. Step 5: Solve for x
    x = 65,736,857,664/174,784
  6. Step 6: Final answer
    x = 376,103.41

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