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Finding the Third Proportional to 1,197.56 and 1,598.34

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Solution

The third proportional to 1,197.56 and 1,598.34 is: 2,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.56 : 1,598.34 = 1,598.34 : x
  2. Step 2: Convert to fraction form
    1,197.56/1,598.34 = 1,598.34/x
  3. Step 3: Cross multiply
    1,197.56x = 1,598.34 × 1,598.34
  4. Step 4: Simplify right side
    1,197.56x = 2,554,702.74
  5. Step 5: Solve for x
    x = 2,554,702.74/1,197.56
  6. Step 6: Final answer
    x = 2,133.25

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Why These Related Problems?

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