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Finding the Third Proportional to 155,526 and 238,204.50

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Solution

The third proportional to 155,526 and 238,204.50 is: 364,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,526 : 238,204.50 = 238,204.50 : x
  2. Step 2: Convert to fraction form
    155,526/238,204.50 = 238,204.50/x
  3. Step 3: Cross multiply
    155,526x = 238,204.50 × 238,204.50
  4. Step 4: Simplify right side
    155,526x = 56,741,383,820.25
  5. Step 5: Solve for x
    x = 56,741,383,820.25/155,526
  6. Step 6: Final answer
    x = 364,835.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.