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Finding the Third Proportional to 148,900 and 230,262

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Solution

The third proportional to 148,900 and 230,262 is: 356,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,900 : 230,262 = 230,262 : x
  2. Step 2: Convert to fraction form
    148,900/230,262 = 230,262/x
  3. Step 3: Cross multiply
    148,900x = 230,262 × 230,262
  4. Step 4: Simplify right side
    148,900x = 53,020,588,644
  5. Step 5: Solve for x
    x = 53,020,588,644/148,900
  6. Step 6: Final answer
    x = 356,081.86

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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.