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Finding the Third Proportional to 1,178.93 and 1,653.06

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Solution

The third proportional to 1,178.93 and 1,653.06 is: 2,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.93 : 1,653.06 = 1,653.06 : x
  2. Step 2: Convert to fraction form
    1,178.93/1,653.06 = 1,653.06/x
  3. Step 3: Cross multiply
    1,178.93x = 1,653.06 × 1,653.06
  4. Step 4: Simplify right side
    1,178.93x = 2,732,622.09
  5. Step 5: Solve for x
    x = 2,732,622.09/1,178.93
  6. Step 6: Final answer
    x = 2,317.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.