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Finding the Third Proportional to 168,553 and 362,120

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Solution

The third proportional to 168,553 and 362,120 is: 777,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,553 : 362,120 = 362,120 : x
  2. Step 2: Convert to fraction form
    168,553/362,120 = 362,120/x
  3. Step 3: Cross multiply
    168,553x = 362,120 × 362,120
  4. Step 4: Simplify right side
    168,553x = 131,130,894,400
  5. Step 5: Solve for x
    x = 131,130,894,400/168,553
  6. Step 6: Final answer
    x = 777,980.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.