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Finding the Third Proportional to 244,912 and 369,168

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Solution

The third proportional to 244,912 and 369,168 is: 556,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,912 : 369,168 = 369,168 : x
  2. Step 2: Convert to fraction form
    244,912/369,168 = 369,168/x
  3. Step 3: Cross multiply
    244,912x = 369,168 × 369,168
  4. Step 4: Simplify right side
    244,912x = 136,285,012,224
  5. Step 5: Solve for x
    x = 136,285,012,224/244,912
  6. Step 6: Final answer
    x = 556,465.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.