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Finding the Third Proportional to 152,692.50 and 237,764.50

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Solution

The third proportional to 152,692.50 and 237,764.50 is: 370,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,692.50 : 237,764.50 = 237,764.50 : x
  2. Step 2: Convert to fraction form
    152,692.50/237,764.50 = 237,764.50/x
  3. Step 3: Cross multiply
    152,692.50x = 237,764.50 × 237,764.50
  4. Step 4: Simplify right side
    152,692.50x = 56,531,957,460.25
  5. Step 5: Solve for x
    x = 56,531,957,460.25/152,692.50
  6. Step 6: Final answer
    x = 370,234.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.