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Finding the Third Proportional to 142,490.50 and 222,362.50

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Solution

The third proportional to 142,490.50 and 222,362.50 is: 347,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,490.50 : 222,362.50 = 222,362.50 : x
  2. Step 2: Convert to fraction form
    142,490.50/222,362.50 = 222,362.50/x
  3. Step 3: Cross multiply
    142,490.50x = 222,362.50 × 222,362.50
  4. Step 4: Simplify right side
    142,490.50x = 49,445,081,406.25
  5. Step 5: Solve for x
    x = 49,445,081,406.25/142,490.50
  6. Step 6: Final answer
    x = 347,006.16

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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.