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Finding the Third Proportional to 145,884 and 208,608

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Solution

The third proportional to 145,884 and 208,608 is: 298,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,884 : 208,608 = 208,608 : x
  2. Step 2: Convert to fraction form
    145,884/208,608 = 208,608/x
  3. Step 3: Cross multiply
    145,884x = 208,608 × 208,608
  4. Step 4: Simplify right side
    145,884x = 43,517,297,664
  5. Step 5: Solve for x
    x = 43,517,297,664/145,884
  6. Step 6: Final answer
    x = 298,300.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.