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Finding the Third Proportional to 170,899 and 368,093.50

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Solution

The third proportional to 170,899 and 368,093.50 is: 792,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,899 : 368,093.50 = 368,093.50 : x
  2. Step 2: Convert to fraction form
    170,899/368,093.50 = 368,093.50/x
  3. Step 3: Cross multiply
    170,899x = 368,093.50 × 368,093.50
  4. Step 4: Simplify right side
    170,899x = 135,492,824,742.25
  5. Step 5: Solve for x
    x = 135,492,824,742.25/170,899
  6. Step 6: Final answer
    x = 792,823.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.