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Finding the Third Proportional to 1,203.61 and 1,606.08

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Solution

The third proportional to 1,203.61 and 1,606.08 is: 2,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.61 : 1,606.08 = 1,606.08 : x
  2. Step 2: Convert to fraction form
    1,203.61/1,606.08 = 1,606.08/x
  3. Step 3: Cross multiply
    1,203.61x = 1,606.08 × 1,606.08
  4. Step 4: Simplify right side
    1,203.61x = 2,579,486.94
  5. Step 5: Solve for x
    x = 2,579,486.94/1,203.61
  6. Step 6: Final answer
    x = 2,143.13

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.