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Finding the Third Proportional to 136,188 and 290,904

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Solution

The third proportional to 136,188 and 290,904 is: 621,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,188 : 290,904 = 290,904 : x
  2. Step 2: Convert to fraction form
    136,188/290,904 = 290,904/x
  3. Step 3: Cross multiply
    136,188x = 290,904 × 290,904
  4. Step 4: Simplify right side
    136,188x = 84,625,137,216
  5. Step 5: Solve for x
    x = 84,625,137,216/136,188
  6. Step 6: Final answer
    x = 621,384.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.