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Finding the Third Proportional to 237,667.50 and 356,548.50

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Solution

The third proportional to 237,667.50 and 356,548.50 is: 534,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,667.50 : 356,548.50 = 356,548.50 : x
  2. Step 2: Convert to fraction form
    237,667.50/356,548.50 = 356,548.50/x
  3. Step 3: Cross multiply
    237,667.50x = 356,548.50 × 356,548.50
  4. Step 4: Simplify right side
    237,667.50x = 127,126,832,852.25
  5. Step 5: Solve for x
    x = 127,126,832,852.25/237,667.50
  6. Step 6: Final answer
    x = 534,893.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.