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Finding the Third Proportional to 106,114.50 and 230,643

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Solution

The third proportional to 106,114.50 and 230,643 is: 501,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.50 : 230,643 = 230,643 : x
  2. Step 2: Convert to fraction form
    106,114.50/230,643 = 230,643/x
  3. Step 3: Cross multiply
    106,114.50x = 230,643 × 230,643
  4. Step 4: Simplify right side
    106,114.50x = 53,196,193,449
  5. Step 5: Solve for x
    x = 53,196,193,449/106,114.50
  6. Step 6: Final answer
    x = 501,309.37

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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.