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Finding the Third Proportional to 140,185 and 201,505.50

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Solution

The third proportional to 140,185 and 201,505.50 is: 289,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,185 : 201,505.50 = 201,505.50 : x
  2. Step 2: Convert to fraction form
    140,185/201,505.50 = 201,505.50/x
  3. Step 3: Cross multiply
    140,185x = 201,505.50 × 201,505.50
  4. Step 4: Simplify right side
    140,185x = 40,604,466,530.25
  5. Step 5: Solve for x
    x = 40,604,466,530.25/140,185
  6. Step 6: Final answer
    x = 289,649.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.