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Finding the Third Proportional to 153,244 and 230,077

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Solution

The third proportional to 153,244 and 230,077 is: 345,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,244 : 230,077 = 230,077 : x
  2. Step 2: Convert to fraction form
    153,244/230,077 = 230,077/x
  3. Step 3: Cross multiply
    153,244x = 230,077 × 230,077
  4. Step 4: Simplify right side
    153,244x = 52,935,425,929
  5. Step 5: Solve for x
    x = 52,935,425,929/153,244
  6. Step 6: Final answer
    x = 345,432.29

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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.