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Finding the Third Proportional to 147,954 and 209,353

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Solution

The third proportional to 147,954 and 209,353 is: 296,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,954 : 209,353 = 209,353 : x
  2. Step 2: Convert to fraction form
    147,954/209,353 = 209,353/x
  3. Step 3: Cross multiply
    147,954x = 209,353 × 209,353
  4. Step 4: Simplify right side
    147,954x = 43,828,678,609
  5. Step 5: Solve for x
    x = 43,828,678,609/147,954
  6. Step 6: Final answer
    x = 296,231.79

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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.