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Finding the Third Proportional to 187,840 and 275,016.50

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Solution

The third proportional to 187,840 and 275,016.50 is: 402,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,840 : 275,016.50 = 275,016.50 : x
  2. Step 2: Convert to fraction form
    187,840/275,016.50 = 275,016.50/x
  3. Step 3: Cross multiply
    187,840x = 275,016.50 × 275,016.50
  4. Step 4: Simplify right side
    187,840x = 75,634,075,272.25
  5. Step 5: Solve for x
    x = 75,634,075,272.25/187,840
  6. Step 6: Final answer
    x = 402,651.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.