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Finding the Third Proportional to 148,063 and 216,568

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Solution

The third proportional to 148,063 and 216,568 is: 316,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,063 : 216,568 = 216,568 : x
  2. Step 2: Convert to fraction form
    148,063/216,568 = 216,568/x
  3. Step 3: Cross multiply
    148,063x = 216,568 × 216,568
  4. Step 4: Simplify right side
    148,063x = 46,901,698,624
  5. Step 5: Solve for x
    x = 46,901,698,624/148,063
  6. Step 6: Final answer
    x = 316,768.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.