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Finding the Third Proportional to 144,858 and 232,677

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Solution

The third proportional to 144,858 and 232,677 is: 373,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,858 : 232,677 = 232,677 : x
  2. Step 2: Convert to fraction form
    144,858/232,677 = 232,677/x
  3. Step 3: Cross multiply
    144,858x = 232,677 × 232,677
  4. Step 4: Simplify right side
    144,858x = 54,138,586,329
  5. Step 5: Solve for x
    x = 54,138,586,329/144,858
  6. Step 6: Final answer
    x = 373,735.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.