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Finding the Third Proportional to 148,272 and 317,996.63

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Solution

The third proportional to 148,272 and 317,996.63 is: 682,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,272 : 317,996.63 = 317,996.63 : x
  2. Step 2: Convert to fraction form
    148,272/317,996.63 = 317,996.63/x
  3. Step 3: Cross multiply
    148,272x = 317,996.63 × 317,996.63
  4. Step 4: Simplify right side
    148,272x = 101,121,853,511.39
  5. Step 5: Solve for x
    x = 101,121,853,511.39/148,272
  6. Step 6: Final answer
    x = 682,002.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.