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Finding the Third Proportional to 152,157 and 222,601.50

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Solution

The third proportional to 152,157 and 222,601.50 is: 325,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,157 : 222,601.50 = 222,601.50 : x
  2. Step 2: Convert to fraction form
    152,157/222,601.50 = 222,601.50/x
  3. Step 3: Cross multiply
    152,157x = 222,601.50 × 222,601.50
  4. Step 4: Simplify right side
    152,157x = 49,551,427,802.25
  5. Step 5: Solve for x
    x = 49,551,427,802.25/152,157
  6. Step 6: Final answer
    x = 325,659.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.