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Finding the Third Proportional to 182.41 and 289.35

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Solution

The third proportional to 182.41 and 289.35 is: 459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.41 : 289.35 = 289.35 : x
  2. Step 2: Convert to fraction form
    182.41/289.35 = 289.35/x
  3. Step 3: Cross multiply
    182.41x = 289.35 × 289.35
  4. Step 4: Simplify right side
    182.41x = 83,725.46
  5. Step 5: Solve for x
    x = 83,725.46/182.41
  6. Step 6: Final answer
    x = 459.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.