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Finding the Third Proportional to 156,692.25 and 238,711.50

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Solution

The third proportional to 156,692.25 and 238,711.50 is: 363,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,692.25 : 238,711.50 = 238,711.50 : x
  2. Step 2: Convert to fraction form
    156,692.25/238,711.50 = 238,711.50/x
  3. Step 3: Cross multiply
    156,692.25x = 238,711.50 × 238,711.50
  4. Step 4: Simplify right side
    156,692.25x = 56,983,180,232.25
  5. Step 5: Solve for x
    x = 56,983,180,232.25/156,692.25
  6. Step 6: Final answer
    x = 363,663.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.