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Finding the Third Proportional to 192,264.50 and 286,803.75

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Solution

The third proportional to 192,264.50 and 286,803.75 is: 427,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,264.50 : 286,803.75 = 286,803.75 : x
  2. Step 2: Convert to fraction form
    192,264.50/286,803.75 = 286,803.75/x
  3. Step 3: Cross multiply
    192,264.50x = 286,803.75 × 286,803.75
  4. Step 4: Simplify right side
    192,264.50x = 82,256,391,014.06
  5. Step 5: Solve for x
    x = 82,256,391,014.06/192,264.50
  6. Step 6: Final answer
    x = 427,829.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.