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Finding the Third Proportional to 187,086 and 252,835.50

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Solution

The third proportional to 187,086 and 252,835.50 is: 341,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086 : 252,835.50 = 252,835.50 : x
  2. Step 2: Convert to fraction form
    187,086/252,835.50 = 252,835.50/x
  3. Step 3: Cross multiply
    187,086x = 252,835.50 × 252,835.50
  4. Step 4: Simplify right side
    187,086x = 63,925,790,060.25
  5. Step 5: Solve for x
    x = 63,925,790,060.25/187,086
  6. Step 6: Final answer
    x = 341,692.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.