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Finding the Third Proportional to 70,288 and 146,405

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Solution

The third proportional to 70,288 and 146,405 is: 304,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288 : 146,405 = 146,405 : x
  2. Step 2: Convert to fraction form
    70,288/146,405 = 146,405/x
  3. Step 3: Cross multiply
    70,288x = 146,405 × 146,405
  4. Step 4: Simplify right side
    70,288x = 21,434,424,025
  5. Step 5: Solve for x
    x = 21,434,424,025/70,288
  6. Step 6: Final answer
    x = 304,951.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.