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Finding the Third Proportional to 183,424 and 263,460

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Solution

The third proportional to 183,424 and 263,460 is: 378,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,424 : 263,460 = 263,460 : x
  2. Step 2: Convert to fraction form
    183,424/263,460 = 263,460/x
  3. Step 3: Cross multiply
    183,424x = 263,460 × 263,460
  4. Step 4: Simplify right side
    183,424x = 69,411,171,600
  5. Step 5: Solve for x
    x = 69,411,171,600/183,424
  6. Step 6: Final answer
    x = 378,419.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.