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Finding the Third Proportional to 215,149.50 and 468,298.50

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Solution

The third proportional to 215,149.50 and 468,298.50 is: 1,019,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,149.50 : 468,298.50 = 468,298.50 : x
  2. Step 2: Convert to fraction form
    215,149.50/468,298.50 = 468,298.50/x
  3. Step 3: Cross multiply
    215,149.50x = 468,298.50 × 468,298.50
  4. Step 4: Simplify right side
    215,149.50x = 219,303,485,102.25
  5. Step 5: Solve for x
    x = 219,303,485,102.25/215,149.50
  6. Step 6: Final answer
    x = 1,019,307.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.