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Finding the Third Proportional to 154,154 and 230,187

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Solution

The third proportional to 154,154 and 230,187 is: 343,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,154 : 230,187 = 230,187 : x
  2. Step 2: Convert to fraction form
    154,154/230,187 = 230,187/x
  3. Step 3: Cross multiply
    154,154x = 230,187 × 230,187
  4. Step 4: Simplify right side
    154,154x = 52,986,054,969
  5. Step 5: Solve for x
    x = 52,986,054,969/154,154
  6. Step 6: Final answer
    x = 343,721.57

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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.