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Finding the Third Proportional to 147,621 and 208,023

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Solution

The third proportional to 147,621 and 208,023 is: 293,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,621 : 208,023 = 208,023 : x
  2. Step 2: Convert to fraction form
    147,621/208,023 = 208,023/x
  3. Step 3: Cross multiply
    147,621x = 208,023 × 208,023
  4. Step 4: Simplify right side
    147,621x = 43,273,568,529
  5. Step 5: Solve for x
    x = 43,273,568,529/147,621
  6. Step 6: Final answer
    x = 293,139.65

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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.