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Finding the Third Proportional to 142,099.50 and 310,944.75

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Solution

The third proportional to 142,099.50 and 310,944.75 is: 680,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.50 : 310,944.75 = 310,944.75 : x
  2. Step 2: Convert to fraction form
    142,099.50/310,944.75 = 310,944.75/x
  3. Step 3: Cross multiply
    142,099.50x = 310,944.75 × 310,944.75
  4. Step 4: Simplify right side
    142,099.50x = 96,686,637,552.56
  5. Step 5: Solve for x
    x = 96,686,637,552.56/142,099.50
  6. Step 6: Final answer
    x = 680,415.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.