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Finding the Third Proportional to 148,216 and 319,760

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Solution

The third proportional to 148,216 and 319,760 is: 689,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,216 : 319,760 = 319,760 : x
  2. Step 2: Convert to fraction form
    148,216/319,760 = 319,760/x
  3. Step 3: Cross multiply
    148,216x = 319,760 × 319,760
  4. Step 4: Simplify right side
    148,216x = 102,246,457,600
  5. Step 5: Solve for x
    x = 102,246,457,600/148,216
  6. Step 6: Final answer
    x = 689,847.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.