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Finding the Third Proportional to 170,015 and 262,337.50

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Solution

The third proportional to 170,015 and 262,337.50 is: 404,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,015 : 262,337.50 = 262,337.50 : x
  2. Step 2: Convert to fraction form
    170,015/262,337.50 = 262,337.50/x
  3. Step 3: Cross multiply
    170,015x = 262,337.50 × 262,337.50
  4. Step 4: Simplify right side
    170,015x = 68,820,963,906.25
  5. Step 5: Solve for x
    x = 68,820,963,906.25/170,015
  6. Step 6: Final answer
    x = 404,793.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.