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Finding the Third Proportional to 145,476 and 216,027

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Solution

The third proportional to 145,476 and 216,027 is: 320,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,476 : 216,027 = 216,027 : x
  2. Step 2: Convert to fraction form
    145,476/216,027 = 216,027/x
  3. Step 3: Cross multiply
    145,476x = 216,027 × 216,027
  4. Step 4: Simplify right side
    145,476x = 46,667,664,729
  5. Step 5: Solve for x
    x = 46,667,664,729/145,476
  6. Step 6: Final answer
    x = 320,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.