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Finding the Third Proportional to 128,884.50 and 282,985

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Solution

The third proportional to 128,884.50 and 282,985 is: 621,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,884.50 : 282,985 = 282,985 : x
  2. Step 2: Convert to fraction form
    128,884.50/282,985 = 282,985/x
  3. Step 3: Cross multiply
    128,884.50x = 282,985 × 282,985
  4. Step 4: Simplify right side
    128,884.50x = 80,080,510,225
  5. Step 5: Solve for x
    x = 80,080,510,225/128,884.50
  6. Step 6: Final answer
    x = 621,335.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.