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Finding the Third Proportional to 187,815 and 442,916

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Solution

The third proportional to 187,815 and 442,916 is: 1,044,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,815 : 442,916 = 442,916 : x
  2. Step 2: Convert to fraction form
    187,815/442,916 = 442,916/x
  3. Step 3: Cross multiply
    187,815x = 442,916 × 442,916
  4. Step 4: Simplify right side
    187,815x = 196,174,583,056
  5. Step 5: Solve for x
    x = 196,174,583,056/187,815
  6. Step 6: Final answer
    x = 1,044,509.67

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Why These Related Problems?

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