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Finding the Third Proportional to 144,319.50 and 214,940.25

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Solution

The third proportional to 144,319.50 and 214,940.25 is: 320,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,319.50 : 214,940.25 = 214,940.25 : x
  2. Step 2: Convert to fraction form
    144,319.50/214,940.25 = 214,940.25/x
  3. Step 3: Cross multiply
    144,319.50x = 214,940.25 × 214,940.25
  4. Step 4: Simplify right side
    144,319.50x = 46,199,311,070.06
  5. Step 5: Solve for x
    x = 46,199,311,070.06/144,319.50
  6. Step 6: Final answer
    x = 320,118.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.