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Finding the Third Proportional to 147,690.84 and 356,070.94

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Solution

The third proportional to 147,690.84 and 356,070.94 is: 858,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,690.84 : 356,070.94 = 356,070.94 : x
  2. Step 2: Convert to fraction form
    147,690.84/356,070.94 = 356,070.94/x
  3. Step 3: Cross multiply
    147,690.84x = 356,070.94 × 356,070.94
  4. Step 4: Simplify right side
    147,690.84x = 126,786,512,532.13
  5. Step 5: Solve for x
    x = 126,786,512,532.13/147,690.84
  6. Step 6: Final answer
    x = 858,458.85

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.