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Finding the Third Proportional to 147,951 and 209,346

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Solution

The third proportional to 147,951 and 209,346 is: 296,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951 : 209,346 = 209,346 : x
  2. Step 2: Convert to fraction form
    147,951/209,346 = 209,346/x
  3. Step 3: Cross multiply
    147,951x = 209,346 × 209,346
  4. Step 4: Simplify right side
    147,951x = 43,825,747,716
  5. Step 5: Solve for x
    x = 43,825,747,716/147,951
  6. Step 6: Final answer
    x = 296,217.99

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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.