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Finding the Third Proportional to 159,780.94 and 348,161.06

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Solution

The third proportional to 159,780.94 and 348,161.06 is: 758,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,780.94 : 348,161.06 = 348,161.06 : x
  2. Step 2: Convert to fraction form
    159,780.94/348,161.06 = 348,161.06/x
  3. Step 3: Cross multiply
    159,780.94x = 348,161.06 × 348,161.06
  4. Step 4: Simplify right side
    159,780.94x = 121,216,125,441.13
  5. Step 5: Solve for x
    x = 121,216,125,441.13/159,780.94
  6. Step 6: Final answer
    x = 758,639.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.