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Finding the Third Proportional to 1,297.13 and 1,702.69

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Solution

The third proportional to 1,297.13 and 1,702.69 is: 2,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.13 : 1,702.69 = 1,702.69 : x
  2. Step 2: Convert to fraction form
    1,297.13/1,702.69 = 1,702.69/x
  3. Step 3: Cross multiply
    1,297.13x = 1,702.69 × 1,702.69
  4. Step 4: Simplify right side
    1,297.13x = 2,899,144.72
  5. Step 5: Solve for x
    x = 2,899,144.72/1,297.13
  6. Step 6: Final answer
    x = 2,235.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.