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Finding the Third Proportional to 201,962 and 312,707

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Solution

The third proportional to 201,962 and 312,707 is: 484,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,962 : 312,707 = 312,707 : x
  2. Step 2: Convert to fraction form
    201,962/312,707 = 312,707/x
  3. Step 3: Cross multiply
    201,962x = 312,707 × 312,707
  4. Step 4: Simplify right side
    201,962x = 97,785,667,849
  5. Step 5: Solve for x
    x = 97,785,667,849/201,962
  6. Step 6: Final answer
    x = 484,178.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.