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Finding the Third Proportional to 148,518 and 230,175

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Solution

The third proportional to 148,518 and 230,175 is: 356,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,518 : 230,175 = 230,175 : x
  2. Step 2: Convert to fraction form
    148,518/230,175 = 230,175/x
  3. Step 3: Cross multiply
    148,518x = 230,175 × 230,175
  4. Step 4: Simplify right side
    148,518x = 52,980,530,625
  5. Step 5: Solve for x
    x = 52,980,530,625/148,518
  6. Step 6: Final answer
    x = 356,728.01

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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.