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Finding the Third Proportional to 174,838 and 364,436

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Solution

The third proportional to 174,838 and 364,436 is: 759,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,838 : 364,436 = 364,436 : x
  2. Step 2: Convert to fraction form
    174,838/364,436 = 364,436/x
  3. Step 3: Cross multiply
    174,838x = 364,436 × 364,436
  4. Step 4: Simplify right side
    174,838x = 132,813,598,096
  5. Step 5: Solve for x
    x = 132,813,598,096/174,838
  6. Step 6: Final answer
    x = 759,638.05

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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.