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Finding the Third Proportional to 174,392 and 255,368

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Solution

The third proportional to 174,392 and 255,368 is: 373,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,392 : 255,368 = 255,368 : x
  2. Step 2: Convert to fraction form
    174,392/255,368 = 255,368/x
  3. Step 3: Cross multiply
    174,392x = 255,368 × 255,368
  4. Step 4: Simplify right side
    174,392x = 65,212,815,424
  5. Step 5: Solve for x
    x = 65,212,815,424/174,392
  6. Step 6: Final answer
    x = 373,943.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.