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Finding the Third Proportional to 154,460 and 230,330

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Solution

The third proportional to 154,460 and 230,330 is: 343,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,460 : 230,330 = 230,330 : x
  2. Step 2: Convert to fraction form
    154,460/230,330 = 230,330/x
  3. Step 3: Cross multiply
    154,460x = 230,330 × 230,330
  4. Step 4: Simplify right side
    154,460x = 53,051,908,900
  5. Step 5: Solve for x
    x = 53,051,908,900/154,460
  6. Step 6: Final answer
    x = 343,466.97

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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.