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Finding the Third Proportional to 187,411.50 and 301,816.50

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Solution

The third proportional to 187,411.50 and 301,816.50 is: 486,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,411.50 : 301,816.50 = 301,816.50 : x
  2. Step 2: Convert to fraction form
    187,411.50/301,816.50 = 301,816.50/x
  3. Step 3: Cross multiply
    187,411.50x = 301,816.50 × 301,816.50
  4. Step 4: Simplify right side
    187,411.50x = 91,093,199,672.25
  5. Step 5: Solve for x
    x = 91,093,199,672.25/187,411.50
  6. Step 6: Final answer
    x = 486,059.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.