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Finding the Third Proportional to 210.88 and 436.75

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Solution

The third proportional to 210.88 and 436.75 is: 904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 436.75 = 436.75 : x
  2. Step 2: Convert to fraction form
    210.88/436.75 = 436.75/x
  3. Step 3: Cross multiply
    210.88x = 436.75 × 436.75
  4. Step 4: Simplify right side
    210.88x = 190,750.56
  5. Step 5: Solve for x
    x = 190,750.56/210.88
  6. Step 6: Final answer
    x = 904.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.