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Finding the Third Proportional to 174,364 and 269,434

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Solution

The third proportional to 174,364 and 269,434 is: 416,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,364 : 269,434 = 269,434 : x
  2. Step 2: Convert to fraction form
    174,364/269,434 = 269,434/x
  3. Step 3: Cross multiply
    174,364x = 269,434 × 269,434
  4. Step 4: Simplify right side
    174,364x = 72,594,680,356
  5. Step 5: Solve for x
    x = 72,594,680,356/174,364
  6. Step 6: Final answer
    x = 416,339.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.