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Finding the Third Proportional to 174,836 and 364,432

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Solution

The third proportional to 174,836 and 364,432 is: 759,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,836 : 364,432 = 364,432 : x
  2. Step 2: Convert to fraction form
    174,836/364,432 = 364,432/x
  3. Step 3: Cross multiply
    174,836x = 364,432 × 364,432
  4. Step 4: Simplify right side
    174,836x = 132,810,682,624
  5. Step 5: Solve for x
    x = 132,810,682,624/174,836
  6. Step 6: Final answer
    x = 759,630.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.