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Finding the Third Proportional to 110,541.50 and 236,855

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Solution

The third proportional to 110,541.50 and 236,855 is: 507,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,541.50 : 236,855 = 236,855 : x
  2. Step 2: Convert to fraction form
    110,541.50/236,855 = 236,855/x
  3. Step 3: Cross multiply
    110,541.50x = 236,855 × 236,855
  4. Step 4: Simplify right side
    110,541.50x = 56,100,291,025
  5. Step 5: Solve for x
    x = 56,100,291,025/110,541.50
  6. Step 6: Final answer
    x = 507,504.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.