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Finding the Third Proportional to 168,088 and 363,280

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Solution

The third proportional to 168,088 and 363,280 is: 785,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,088 : 363,280 = 363,280 : x
  2. Step 2: Convert to fraction form
    168,088/363,280 = 363,280/x
  3. Step 3: Cross multiply
    168,088x = 363,280 × 363,280
  4. Step 4: Simplify right side
    168,088x = 131,972,358,400
  5. Step 5: Solve for x
    x = 131,972,358,400/168,088
  6. Step 6: Final answer
    x = 785,138.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.