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Finding the Third Proportional to 160,994.25 and 349,643.25

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Solution

The third proportional to 160,994.25 and 349,643.25 is: 759,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,994.25 : 349,643.25 = 349,643.25 : x
  2. Step 2: Convert to fraction form
    160,994.25/349,643.25 = 349,643.25/x
  3. Step 3: Cross multiply
    160,994.25x = 349,643.25 × 349,643.25
  4. Step 4: Simplify right side
    160,994.25x = 122,250,402,270.56
  5. Step 5: Solve for x
    x = 122,250,402,270.56/160,994.25
  6. Step 6: Final answer
    x = 759,346.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.