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Finding the Third Proportional to 213,858.75 and 459,308.25

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Solution

The third proportional to 213,858.75 and 459,308.25 is: 986,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,858.75 : 459,308.25 = 459,308.25 : x
  2. Step 2: Convert to fraction form
    213,858.75/459,308.25 = 459,308.25/x
  3. Step 3: Cross multiply
    213,858.75x = 459,308.25 × 459,308.25
  4. Step 4: Simplify right side
    213,858.75x = 210,964,068,518.06
  5. Step 5: Solve for x
    x = 210,964,068,518.06/213,858.75
  6. Step 6: Final answer
    x = 986,464.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.