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Finding the Third Proportional to 218,232.75 and 470,893.50

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Solution

The third proportional to 218,232.75 and 470,893.50 is: 1,016,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,232.75 : 470,893.50 = 470,893.50 : x
  2. Step 2: Convert to fraction form
    218,232.75/470,893.50 = 470,893.50/x
  3. Step 3: Cross multiply
    218,232.75x = 470,893.50 × 470,893.50
  4. Step 4: Simplify right side
    218,232.75x = 221,740,688,342.25
  5. Step 5: Solve for x
    x = 221,740,688,342.25/218,232.75
  6. Step 6: Final answer
    x = 1,016,074.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.