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Finding the Third Proportional to 213,171 and 307,969.50

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Solution

The third proportional to 213,171 and 307,969.50 is: 444,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,171 : 307,969.50 = 307,969.50 : x
  2. Step 2: Convert to fraction form
    213,171/307,969.50 = 307,969.50/x
  3. Step 3: Cross multiply
    213,171x = 307,969.50 × 307,969.50
  4. Step 4: Simplify right side
    213,171x = 94,845,212,930.25
  5. Step 5: Solve for x
    x = 94,845,212,930.25/213,171
  6. Step 6: Final answer
    x = 444,925.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.