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Finding the Third Proportional to 143,532 and 211,144.50

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Solution

The third proportional to 143,532 and 211,144.50 is: 310,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,532 : 211,144.50 = 211,144.50 : x
  2. Step 2: Convert to fraction form
    143,532/211,144.50 = 211,144.50/x
  3. Step 3: Cross multiply
    143,532x = 211,144.50 × 211,144.50
  4. Step 4: Simplify right side
    143,532x = 44,581,999,880.25
  5. Step 5: Solve for x
    x = 44,581,999,880.25/143,532
  6. Step 6: Final answer
    x = 310,606.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.