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Finding the Third Proportional to 275,168 and 602,168

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Solution

The third proportional to 275,168 and 602,168 is: 1,317,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,168 : 602,168 = 602,168 : x
  2. Step 2: Convert to fraction form
    275,168/602,168 = 602,168/x
  3. Step 3: Cross multiply
    275,168x = 602,168 × 602,168
  4. Step 4: Simplify right side
    275,168x = 362,606,300,224
  5. Step 5: Solve for x
    x = 362,606,300,224/275,168
  6. Step 6: Final answer
    x = 1,317,763.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.