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Finding the Third Proportional to 158,061.38 and 281,039.63

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Solution

The third proportional to 158,061.38 and 281,039.63 is: 499,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,061.38 : 281,039.63 = 281,039.63 : x
  2. Step 2: Convert to fraction form
    158,061.38/281,039.63 = 281,039.63/x
  3. Step 3: Cross multiply
    158,061.38x = 281,039.63 × 281,039.63
  4. Step 4: Simplify right side
    158,061.38x = 78,983,270,820.14
  5. Step 5: Solve for x
    x = 78,983,270,820.14/158,061.38
  6. Step 6: Final answer
    x = 499,700.01

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.