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Finding the Third Proportional to 131,506.50 and 203,457

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Solution

The third proportional to 131,506.50 and 203,457 is: 314,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,506.50 : 203,457 = 203,457 : x
  2. Step 2: Convert to fraction form
    131,506.50/203,457 = 203,457/x
  3. Step 3: Cross multiply
    131,506.50x = 203,457 × 203,457
  4. Step 4: Simplify right side
    131,506.50x = 41,394,750,849
  5. Step 5: Solve for x
    x = 41,394,750,849/131,506.50
  6. Step 6: Final answer
    x = 314,773.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.