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Finding the Third Proportional to 151,278 and 200,671.50

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Solution

The third proportional to 151,278 and 200,671.50 is: 266,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,278 : 200,671.50 = 200,671.50 : x
  2. Step 2: Convert to fraction form
    151,278/200,671.50 = 200,671.50/x
  3. Step 3: Cross multiply
    151,278x = 200,671.50 × 200,671.50
  4. Step 4: Simplify right side
    151,278x = 40,269,050,912.25
  5. Step 5: Solve for x
    x = 40,269,050,912.25/151,278
  6. Step 6: Final answer
    x = 266,192.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.