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Finding the Third Proportional to 178,539 and 236,947

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Solution

The third proportional to 178,539 and 236,947 is: 314,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,539 : 236,947 = 236,947 : x
  2. Step 2: Convert to fraction form
    178,539/236,947 = 236,947/x
  3. Step 3: Cross multiply
    178,539x = 236,947 × 236,947
  4. Step 4: Simplify right side
    178,539x = 56,143,880,809
  5. Step 5: Solve for x
    x = 56,143,880,809/178,539
  6. Step 6: Final answer
    x = 314,462.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.