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Finding the Third Proportional to 148,617 and 230,217.75

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Solution

The third proportional to 148,617 and 230,217.75 is: 356,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,617 : 230,217.75 = 230,217.75 : x
  2. Step 2: Convert to fraction form
    148,617/230,217.75 = 230,217.75/x
  3. Step 3: Cross multiply
    148,617x = 230,217.75 × 230,217.75
  4. Step 4: Simplify right side
    148,617x = 53,000,212,415.06
  5. Step 5: Solve for x
    x = 53,000,212,415.06/148,617
  6. Step 6: Final answer
    x = 356,622.81

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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.