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Finding the Third Proportional to 145,296 and 200,088

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Solution

The third proportional to 145,296 and 200,088 is: 275,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,296 : 200,088 = 200,088 : x
  2. Step 2: Convert to fraction form
    145,296/200,088 = 200,088/x
  3. Step 3: Cross multiply
    145,296x = 200,088 × 200,088
  4. Step 4: Simplify right side
    145,296x = 40,035,207,744
  5. Step 5: Solve for x
    x = 40,035,207,744/145,296
  6. Step 6: Final answer
    x = 275,542.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.