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Finding the Third Proportional to 245,169 and 337,621

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Solution

The third proportional to 245,169 and 337,621 is: 464,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,169 : 337,621 = 337,621 : x
  2. Step 2: Convert to fraction form
    245,169/337,621 = 337,621/x
  3. Step 3: Cross multiply
    245,169x = 337,621 × 337,621
  4. Step 4: Simplify right side
    245,169x = 113,987,939,641
  5. Step 5: Solve for x
    x = 113,987,939,641/245,169
  6. Step 6: Final answer
    x = 464,936.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.