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Finding the Third Proportional to 858.19 and 1,165.69

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Solution

The third proportional to 858.19 and 1,165.69 is: 1,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.19 : 1,165.69 = 1,165.69 : x
  2. Step 2: Convert to fraction form
    858.19/1,165.69 = 1,165.69/x
  3. Step 3: Cross multiply
    858.19x = 1,165.69 × 1,165.69
  4. Step 4: Simplify right side
    858.19x = 1,358,827.35
  5. Step 5: Solve for x
    x = 1,358,827.35/858.19
  6. Step 6: Final answer
    x = 1,583.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.