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Finding the Third Proportional to 110,543.50 and 236,859

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Solution

The third proportional to 110,543.50 and 236,859 is: 507,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,543.50 : 236,859 = 236,859 : x
  2. Step 2: Convert to fraction form
    110,543.50/236,859 = 236,859/x
  3. Step 3: Cross multiply
    110,543.50x = 236,859 × 236,859
  4. Step 4: Simplify right side
    110,543.50x = 56,102,185,881
  5. Step 5: Solve for x
    x = 56,102,185,881/110,543.50
  6. Step 6: Final answer
    x = 507,512.30

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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.