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Finding the Third Proportional to 148,346 and 230,126

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Solution

The third proportional to 148,346 and 230,126 is: 356,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,346 : 230,126 = 230,126 : x
  2. Step 2: Convert to fraction form
    148,346/230,126 = 230,126/x
  3. Step 3: Cross multiply
    148,346x = 230,126 × 230,126
  4. Step 4: Simplify right side
    148,346x = 52,957,975,876
  5. Step 5: Solve for x
    x = 52,957,975,876/148,346
  6. Step 6: Final answer
    x = 356,989.58

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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.