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Finding the Third Proportional to 187,548 and 442,453.50

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Solution

The third proportional to 187,548 and 442,453.50 is: 1,043,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,548 : 442,453.50 = 442,453.50 : x
  2. Step 2: Convert to fraction form
    187,548/442,453.50 = 442,453.50/x
  3. Step 3: Cross multiply
    187,548x = 442,453.50 × 442,453.50
  4. Step 4: Simplify right side
    187,548x = 195,765,099,662.25
  5. Step 5: Solve for x
    x = 195,765,099,662.25/187,548
  6. Step 6: Final answer
    x = 1,043,813.32

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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.