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Finding the Third Proportional to 143,470.50 and 210,597.75

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Solution

The third proportional to 143,470.50 and 210,597.75 is: 309,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,470.50 : 210,597.75 = 210,597.75 : x
  2. Step 2: Convert to fraction form
    143,470.50/210,597.75 = 210,597.75/x
  3. Step 3: Cross multiply
    143,470.50x = 210,597.75 × 210,597.75
  4. Step 4: Simplify right side
    143,470.50x = 44,351,412,305.06
  5. Step 5: Solve for x
    x = 44,351,412,305.06/143,470.50
  6. Step 6: Final answer
    x = 309,132.63

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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.