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Finding the Third Proportional to 173,961 and 266,557.50

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Solution

The third proportional to 173,961 and 266,557.50 is: 408,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,961 : 266,557.50 = 266,557.50 : x
  2. Step 2: Convert to fraction form
    173,961/266,557.50 = 266,557.50/x
  3. Step 3: Cross multiply
    173,961x = 266,557.50 × 266,557.50
  4. Step 4: Simplify right side
    173,961x = 71,052,900,806.25
  5. Step 5: Solve for x
    x = 71,052,900,806.25/173,961
  6. Step 6: Final answer
    x = 408,441.55

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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.