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Finding the Third Proportional to 160,603.50 and 345,873

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Solution

The third proportional to 160,603.50 and 345,873 is: 744,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,603.50 : 345,873 = 345,873 : x
  2. Step 2: Convert to fraction form
    160,603.50/345,873 = 345,873/x
  3. Step 3: Cross multiply
    160,603.50x = 345,873 × 345,873
  4. Step 4: Simplify right side
    160,603.50x = 119,628,132,129
  5. Step 5: Solve for x
    x = 119,628,132,129/160,603.50
  6. Step 6: Final answer
    x = 744,866.28

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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.