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Finding the Third Proportional to 110,599.50 and 241,896

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Solution

The third proportional to 110,599.50 and 241,896 is: 529,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,599.50 : 241,896 = 241,896 : x
  2. Step 2: Convert to fraction form
    110,599.50/241,896 = 241,896/x
  3. Step 3: Cross multiply
    110,599.50x = 241,896 × 241,896
  4. Step 4: Simplify right side
    110,599.50x = 58,513,674,816
  5. Step 5: Solve for x
    x = 58,513,674,816/110,599.50
  6. Step 6: Final answer
    x = 529,059.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.