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Finding the Third Proportional to 282.23 and 603.70

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Solution

The third proportional to 282.23 and 603.70 is: 1,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 603.70 = 603.70 : x
  2. Step 2: Convert to fraction form
    282.23/603.70 = 603.70/x
  3. Step 3: Cross multiply
    282.23x = 603.70 × 603.70
  4. Step 4: Simplify right side
    282.23x = 364,457.46
  5. Step 5: Solve for x
    x = 364,457.46/282.23
  6. Step 6: Final answer
    x = 1,291.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.