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Finding the Third Proportional to 187,813.05 and 442,905.15

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Solution

The third proportional to 187,813.05 and 442,905.15 is: 1,044,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,813.05 : 442,905.15 = 442,905.15 : x
  2. Step 2: Convert to fraction form
    187,813.05/442,905.15 = 442,905.15/x
  3. Step 3: Cross multiply
    187,813.05x = 442,905.15 × 442,905.15
  4. Step 4: Simplify right side
    187,813.05x = 196,164,973,972.64
  5. Step 5: Solve for x
    x = 196,164,973,972.64/187,813.05
  6. Step 6: Final answer
    x = 1,044,469.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.