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Finding the Third Proportional to 282.25 and 434.63

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Solution

The third proportional to 282.25 and 434.63 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 434.63 = 434.63 : x
  2. Step 2: Convert to fraction form
    282.25/434.63 = 434.63/x
  3. Step 3: Cross multiply
    282.25x = 434.63 × 434.63
  4. Step 4: Simplify right side
    282.25x = 188,898.89
  5. Step 5: Solve for x
    x = 188,898.89/282.25
  6. Step 6: Final answer
    x = 669.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.