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Finding the Third Proportional to 245,366 and 347,954

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Solution

The third proportional to 245,366 and 347,954 is: 493,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,366 : 347,954 = 347,954 : x
  2. Step 2: Convert to fraction form
    245,366/347,954 = 347,954/x
  3. Step 3: Cross multiply
    245,366x = 347,954 × 347,954
  4. Step 4: Simplify right side
    245,366x = 121,071,986,116
  5. Step 5: Solve for x
    x = 121,071,986,116/245,366
  6. Step 6: Final answer
    x = 493,434.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.