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Finding the Third Proportional to 240,394 and 366,947

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Solution

The third proportional to 240,394 and 366,947 is: 560,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,394 : 366,947 = 366,947 : x
  2. Step 2: Convert to fraction form
    240,394/366,947 = 366,947/x
  3. Step 3: Cross multiply
    240,394x = 366,947 × 366,947
  4. Step 4: Simplify right side
    240,394x = 134,650,100,809
  5. Step 5: Solve for x
    x = 134,650,100,809/240,394
  6. Step 6: Final answer
    x = 560,122.55

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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.