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Finding the Third Proportional to 154,390 and 230,933

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Solution

The third proportional to 154,390 and 230,933 is: 345,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,390 : 230,933 = 230,933 : x
  2. Step 2: Convert to fraction form
    154,390/230,933 = 230,933/x
  3. Step 3: Cross multiply
    154,390x = 230,933 × 230,933
  4. Step 4: Simplify right side
    154,390x = 53,330,050,489
  5. Step 5: Solve for x
    x = 53,330,050,489/154,390
  6. Step 6: Final answer
    x = 345,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.