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Finding the Third Proportional to 200,292 and 311,928

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Solution

The third proportional to 200,292 and 311,928 is: 485,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,292 : 311,928 = 311,928 : x
  2. Step 2: Convert to fraction form
    200,292/311,928 = 311,928/x
  3. Step 3: Cross multiply
    200,292x = 311,928 × 311,928
  4. Step 4: Simplify right side
    200,292x = 97,299,077,184
  5. Step 5: Solve for x
    x = 97,299,077,184/200,292
  6. Step 6: Final answer
    x = 485,786.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.