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Finding the Third Proportional to 218,816.50 and 471,113

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Solution

The third proportional to 218,816.50 and 471,113 is: 1,014,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,816.50 : 471,113 = 471,113 : x
  2. Step 2: Convert to fraction form
    218,816.50/471,113 = 471,113/x
  3. Step 3: Cross multiply
    218,816.50x = 471,113 × 471,113
  4. Step 4: Simplify right side
    218,816.50x = 221,947,458,769
  5. Step 5: Solve for x
    x = 221,947,458,769/218,816.50
  6. Step 6: Final answer
    x = 1,014,308.60

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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.