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Finding the Third Proportional to 903.09 and 1,342.69

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Solution

The third proportional to 903.09 and 1,342.69 is: 1,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.09 : 1,342.69 = 1,342.69 : x
  2. Step 2: Convert to fraction form
    903.09/1,342.69 = 1,342.69/x
  3. Step 3: Cross multiply
    903.09x = 1,342.69 × 1,342.69
  4. Step 4: Simplify right side
    903.09x = 1,802,809.72
  5. Step 5: Solve for x
    x = 1,802,809.72/903.09
  6. Step 6: Final answer
    x = 1,996.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.