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Finding the Third Proportional to 145,854 and 320,219

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Solution

The third proportional to 145,854 and 320,219 is: 703,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854 : 320,219 = 320,219 : x
  2. Step 2: Convert to fraction form
    145,854/320,219 = 320,219/x
  3. Step 3: Cross multiply
    145,854x = 320,219 × 320,219
  4. Step 4: Simplify right side
    145,854x = 102,540,207,961
  5. Step 5: Solve for x
    x = 102,540,207,961/145,854
  6. Step 6: Final answer
    x = 703,033.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.