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Finding the Third Proportional to 160,984.50 and 349,669.50

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Solution

The third proportional to 160,984.50 and 349,669.50 is: 759,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,984.50 : 349,669.50 = 349,669.50 : x
  2. Step 2: Convert to fraction form
    160,984.50/349,669.50 = 349,669.50/x
  3. Step 3: Cross multiply
    160,984.50x = 349,669.50 × 349,669.50
  4. Step 4: Simplify right side
    160,984.50x = 122,268,759,230.25
  5. Step 5: Solve for x
    x = 122,268,759,230.25/160,984.50
  6. Step 6: Final answer
    x = 759,506.41

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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.