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Finding the Third Proportional to 213,144 and 307,930.50

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Solution

The third proportional to 213,144 and 307,930.50 is: 444,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144 : 307,930.50 = 307,930.50 : x
  2. Step 2: Convert to fraction form
    213,144/307,930.50 = 307,930.50/x
  3. Step 3: Cross multiply
    213,144x = 307,930.50 × 307,930.50
  4. Step 4: Simplify right side
    213,144x = 94,821,192,830.25
  5. Step 5: Solve for x
    x = 94,821,192,830.25/213,144
  6. Step 6: Final answer
    x = 444,869.16

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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.