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Finding the Third Proportional to 154,236 and 230,070

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Solution

The third proportional to 154,236 and 230,070 is: 343,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,236 : 230,070 = 230,070 : x
  2. Step 2: Convert to fraction form
    154,236/230,070 = 230,070/x
  3. Step 3: Cross multiply
    154,236x = 230,070 × 230,070
  4. Step 4: Simplify right side
    154,236x = 52,932,204,900
  5. Step 5: Solve for x
    x = 52,932,204,900/154,236
  6. Step 6: Final answer
    x = 343,189.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.