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Finding the Third Proportional to 147,762 and 313,938

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Solution

The third proportional to 147,762 and 313,938 is: 666,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,762 : 313,938 = 313,938 : x
  2. Step 2: Convert to fraction form
    147,762/313,938 = 313,938/x
  3. Step 3: Cross multiply
    147,762x = 313,938 × 313,938
  4. Step 4: Simplify right side
    147,762x = 98,557,067,844
  5. Step 5: Solve for x
    x = 98,557,067,844/147,762
  6. Step 6: Final answer
    x = 666,998.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.