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Finding the Third Proportional to 211,349.25 and 436,671

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Solution

The third proportional to 211,349.25 and 436,671 is: 902,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,349.25 : 436,671 = 436,671 : x
  2. Step 2: Convert to fraction form
    211,349.25/436,671 = 436,671/x
  3. Step 3: Cross multiply
    211,349.25x = 436,671 × 436,671
  4. Step 4: Simplify right side
    211,349.25x = 190,681,562,241
  5. Step 5: Solve for x
    x = 190,681,562,241/211,349.25
  6. Step 6: Final answer
    x = 902,210.74

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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.