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Finding the Third Proportional to 187,815.75 and 442,911.75

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Solution

The third proportional to 187,815.75 and 442,911.75 is: 1,044,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,815.75 : 442,911.75 = 442,911.75 : x
  2. Step 2: Convert to fraction form
    187,815.75/442,911.75 = 442,911.75/x
  3. Step 3: Cross multiply
    187,815.75x = 442,911.75 × 442,911.75
  4. Step 4: Simplify right side
    187,815.75x = 196,170,818,288.06
  5. Step 5: Solve for x
    x = 196,170,818,288.06/187,815.75
  6. Step 6: Final answer
    x = 1,044,485.45

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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.