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Finding the Third Proportional to 143,316 and 200,448

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Solution

The third proportional to 143,316 and 200,448 is: 280,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316 : 200,448 = 200,448 : x
  2. Step 2: Convert to fraction form
    143,316/200,448 = 200,448/x
  3. Step 3: Cross multiply
    143,316x = 200,448 × 200,448
  4. Step 4: Simplify right side
    143,316x = 40,179,400,704
  5. Step 5: Solve for x
    x = 40,179,400,704/143,316
  6. Step 6: Final answer
    x = 280,355.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.