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Finding the Third Proportional to 160,985.25 and 349,625.25

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Solution

The third proportional to 160,985.25 and 349,625.25 is: 759,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,985.25 : 349,625.25 = 349,625.25 : x
  2. Step 2: Convert to fraction form
    160,985.25/349,625.25 = 349,625.25/x
  3. Step 3: Cross multiply
    160,985.25x = 349,625.25 × 349,625.25
  4. Step 4: Simplify right side
    160,985.25x = 122,237,815,437.56
  5. Step 5: Solve for x
    x = 122,237,815,437.56/160,985.25
  6. Step 6: Final answer
    x = 759,310.65

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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.