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Finding the Third Proportional to 188,969 and 288,947

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Solution

The third proportional to 188,969 and 288,947 is: 441,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,969 : 288,947 = 288,947 : x
  2. Step 2: Convert to fraction form
    188,969/288,947 = 288,947/x
  3. Step 3: Cross multiply
    188,969x = 288,947 × 288,947
  4. Step 4: Simplify right side
    188,969x = 83,490,368,809
  5. Step 5: Solve for x
    x = 83,490,368,809/188,969
  6. Step 6: Final answer
    x = 441,820.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.