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Finding the Third Proportional to 170,811 and 236,843.50

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Solution

The third proportional to 170,811 and 236,843.50 is: 328,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,811 : 236,843.50 = 236,843.50 : x
  2. Step 2: Convert to fraction form
    170,811/236,843.50 = 236,843.50/x
  3. Step 3: Cross multiply
    170,811x = 236,843.50 × 236,843.50
  4. Step 4: Simplify right side
    170,811x = 56,094,843,492.25
  5. Step 5: Solve for x
    x = 56,094,843,492.25/170,811
  6. Step 6: Final answer
    x = 328,402.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.