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Finding the Third Proportional to 180,257.63 and 282,759.75

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Solution

The third proportional to 180,257.63 and 282,759.75 is: 443,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,257.63 : 282,759.75 = 282,759.75 : x
  2. Step 2: Convert to fraction form
    180,257.63/282,759.75 = 282,759.75/x
  3. Step 3: Cross multiply
    180,257.63x = 282,759.75 × 282,759.75
  4. Step 4: Simplify right side
    180,257.63x = 79,953,076,220.06
  5. Step 5: Solve for x
    x = 79,953,076,220.06/180,257.63
  6. Step 6: Final answer
    x = 443,548.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.