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Finding the Third Proportional to 152,087.63 and 352,072.83

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Solution

The third proportional to 152,087.63 and 352,072.83 is: 815,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,087.63 : 352,072.83 = 352,072.83 : x
  2. Step 2: Convert to fraction form
    152,087.63/352,072.83 = 352,072.83/x
  3. Step 3: Cross multiply
    152,087.63x = 352,072.83 × 352,072.83
  4. Step 4: Simplify right side
    152,087.63x = 123,955,276,303.94
  5. Step 5: Solve for x
    x = 123,955,276,303.94/152,087.63
  6. Step 6: Final answer
    x = 815,025.39

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.