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Finding the Third Proportional to 141,471.56 and 303,188.06

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Solution

The third proportional to 141,471.56 and 303,188.06 is: 649,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,471.56 : 303,188.06 = 303,188.06 : x
  2. Step 2: Convert to fraction form
    141,471.56/303,188.06 = 303,188.06/x
  3. Step 3: Cross multiply
    141,471.56x = 303,188.06 × 303,188.06
  4. Step 4: Simplify right side
    141,471.56x = 91,923,001,242.50
  5. Step 5: Solve for x
    x = 91,923,001,242.50/141,471.56
  6. Step 6: Final answer
    x = 649,763.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.