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Finding the Third Proportional to 138,188 and 290,296

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Solution

The third proportional to 138,188 and 290,296 is: 609,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,188 : 290,296 = 290,296 : x
  2. Step 2: Convert to fraction form
    138,188/290,296 = 290,296/x
  3. Step 3: Cross multiply
    138,188x = 290,296 × 290,296
  4. Step 4: Simplify right side
    138,188x = 84,271,767,616
  5. Step 5: Solve for x
    x = 84,271,767,616/138,188
  6. Step 6: Final answer
    x = 609,834.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.