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Finding the Third Proportional to 154,243 and 230,091

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Solution

The third proportional to 154,243 and 230,091 is: 343,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,243 : 230,091 = 230,091 : x
  2. Step 2: Convert to fraction form
    154,243/230,091 = 230,091/x
  3. Step 3: Cross multiply
    154,243x = 230,091 × 230,091
  4. Step 4: Simplify right side
    154,243x = 52,941,868,281
  5. Step 5: Solve for x
    x = 52,941,868,281/154,243
  6. Step 6: Final answer
    x = 343,236.76

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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.