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Finding the Third Proportional to 159,995.50 and 241,007.50

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Solution

The third proportional to 159,995.50 and 241,007.50 is: 363,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,995.50 : 241,007.50 = 241,007.50 : x
  2. Step 2: Convert to fraction form
    159,995.50/241,007.50 = 241,007.50/x
  3. Step 3: Cross multiply
    159,995.50x = 241,007.50 × 241,007.50
  4. Step 4: Simplify right side
    159,995.50x = 58,084,615,056.25
  5. Step 5: Solve for x
    x = 58,084,615,056.25/159,995.50
  6. Step 6: Final answer
    x = 363,039.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.