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Finding the Third Proportional to 140,652 and 286,525.50

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Solution

The third proportional to 140,652 and 286,525.50 is: 583,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,652 : 286,525.50 = 286,525.50 : x
  2. Step 2: Convert to fraction form
    140,652/286,525.50 = 286,525.50/x
  3. Step 3: Cross multiply
    140,652x = 286,525.50 × 286,525.50
  4. Step 4: Simplify right side
    140,652x = 82,096,862,150.25
  5. Step 5: Solve for x
    x = 82,096,862,150.25/140,652
  6. Step 6: Final answer
    x = 583,687.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.