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Finding the Third Proportional to 903.23 and 1,401.68

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Solution

The third proportional to 903.23 and 1,401.68 is: 2,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.23 : 1,401.68 = 1,401.68 : x
  2. Step 2: Convert to fraction form
    903.23/1,401.68 = 1,401.68/x
  3. Step 3: Cross multiply
    903.23x = 1,401.68 × 1,401.68
  4. Step 4: Simplify right side
    903.23x = 1,964,705.95
  5. Step 5: Solve for x
    x = 1,964,705.95/903.23
  6. Step 6: Final answer
    x = 2,175.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.