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Finding the Third Proportional to 160,215.75 and 350,356.50

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Solution

The third proportional to 160,215.75 and 350,356.50 is: 766,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,215.75 : 350,356.50 = 350,356.50 : x
  2. Step 2: Convert to fraction form
    160,215.75/350,356.50 = 350,356.50/x
  3. Step 3: Cross multiply
    160,215.75x = 350,356.50 × 350,356.50
  4. Step 4: Simplify right side
    160,215.75x = 122,749,677,092.25
  5. Step 5: Solve for x
    x = 122,749,677,092.25/160,215.75
  6. Step 6: Final answer
    x = 766,152.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.