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Finding the Third Proportional to 113,052.94 and 242,496.56

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Solution

The third proportional to 113,052.94 and 242,496.56 is: 520,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,052.94 : 242,496.56 = 242,496.56 : x
  2. Step 2: Convert to fraction form
    113,052.94/242,496.56 = 242,496.56/x
  3. Step 3: Cross multiply
    113,052.94x = 242,496.56 × 242,496.56
  4. Step 4: Simplify right side
    113,052.94x = 58,804,582,824.32
  5. Step 5: Solve for x
    x = 58,804,582,824.32/113,052.94
  6. Step 6: Final answer
    x = 520,150.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.