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Finding the Third Proportional to 143,110.50 and 210,289.88

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Solution

The third proportional to 143,110.50 and 210,289.88 is: 309,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,110.50 : 210,289.88 = 210,289.88 : x
  2. Step 2: Convert to fraction form
    143,110.50/210,289.88 = 210,289.88/x
  3. Step 3: Cross multiply
    143,110.50x = 210,289.88 × 210,289.88
  4. Step 4: Simplify right side
    143,110.50x = 44,221,831,527.52
  5. Step 5: Solve for x
    x = 44,221,831,527.52/143,110.50
  6. Step 6: Final answer
    x = 309,004.80

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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.