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Finding the Third Proportional to 147,626 and 208,029

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Solution

The third proportional to 147,626 and 208,029 is: 293,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,626 : 208,029 = 208,029 : x
  2. Step 2: Convert to fraction form
    147,626/208,029 = 208,029/x
  3. Step 3: Cross multiply
    147,626x = 208,029 × 208,029
  4. Step 4: Simplify right side
    147,626x = 43,276,064,841
  5. Step 5: Solve for x
    x = 43,276,064,841/147,626
  6. Step 6: Final answer
    x = 293,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.