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Finding the Third Proportional to 143,140.13 and 310,944.75

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Solution

The third proportional to 143,140.13 and 310,944.75 is: 675,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,140.13 : 310,944.75 = 310,944.75 : x
  2. Step 2: Convert to fraction form
    143,140.13/310,944.75 = 310,944.75/x
  3. Step 3: Cross multiply
    143,140.13x = 310,944.75 × 310,944.75
  4. Step 4: Simplify right side
    143,140.13x = 96,686,637,552.56
  5. Step 5: Solve for x
    x = 96,686,637,552.56/143,140.13
  6. Step 6: Final answer
    x = 675,468.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.