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Finding the Third Proportional to 187,536.50 and 442,424.50

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Solution

The third proportional to 187,536.50 and 442,424.50 is: 1,043,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,536.50 : 442,424.50 = 442,424.50 : x
  2. Step 2: Convert to fraction form
    187,536.50/442,424.50 = 442,424.50/x
  3. Step 3: Cross multiply
    187,536.50x = 442,424.50 × 442,424.50
  4. Step 4: Simplify right side
    187,536.50x = 195,739,438,200.25
  5. Step 5: Solve for x
    x = 195,739,438,200.25/187,536.50
  6. Step 6: Final answer
    x = 1,043,740.49

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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.