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Finding the Third Proportional to 179,532 and 232,938

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Solution

The third proportional to 179,532 and 232,938 is: 302,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,532 : 232,938 = 232,938 : x
  2. Step 2: Convert to fraction form
    179,532/232,938 = 232,938/x
  3. Step 3: Cross multiply
    179,532x = 232,938 × 232,938
  4. Step 4: Simplify right side
    179,532x = 54,260,111,844
  5. Step 5: Solve for x
    x = 54,260,111,844/179,532
  6. Step 6: Final answer
    x = 302,230.87

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.