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Finding the Third Proportional to 143,061 and 221,167.50

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Solution

The third proportional to 143,061 and 221,167.50 is: 341,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,061 : 221,167.50 = 221,167.50 : x
  2. Step 2: Convert to fraction form
    143,061/221,167.50 = 221,167.50/x
  3. Step 3: Cross multiply
    143,061x = 221,167.50 × 221,167.50
  4. Step 4: Simplify right side
    143,061x = 48,915,063,056.25
  5. Step 5: Solve for x
    x = 48,915,063,056.25/143,061
  6. Step 6: Final answer
    x = 341,917.53

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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.