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Finding the Third Proportional to 147,954 and 209,351

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Solution

The third proportional to 147,954 and 209,351 is: 296,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,954 : 209,351 = 209,351 : x
  2. Step 2: Convert to fraction form
    147,954/209,351 = 209,351/x
  3. Step 3: Cross multiply
    147,954x = 209,351 × 209,351
  4. Step 4: Simplify right side
    147,954x = 43,827,841,201
  5. Step 5: Solve for x
    x = 43,827,841,201/147,954
  6. Step 6: Final answer
    x = 296,226.13

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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.