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Finding the Third Proportional to 160,899.36 and 346,716.56

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Solution

The third proportional to 160,899.36 and 346,716.56 is: 747,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,899.36 : 346,716.56 = 346,716.56 : x
  2. Step 2: Convert to fraction form
    160,899.36/346,716.56 = 346,716.56/x
  3. Step 3: Cross multiply
    160,899.36x = 346,716.56 × 346,716.56
  4. Step 4: Simplify right side
    160,899.36x = 120,212,374,711.82
  5. Step 5: Solve for x
    x = 120,212,374,711.82/160,899.36
  6. Step 6: Final answer
    x = 747,127.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.