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Finding the Third Proportional to 110,865 and 251,323.50

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Solution

The third proportional to 110,865 and 251,323.50 is: 569,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,865 : 251,323.50 = 251,323.50 : x
  2. Step 2: Convert to fraction form
    110,865/251,323.50 = 251,323.50/x
  3. Step 3: Cross multiply
    110,865x = 251,323.50 × 251,323.50
  4. Step 4: Simplify right side
    110,865x = 63,163,501,652.25
  5. Step 5: Solve for x
    x = 63,163,501,652.25/110,865
  6. Step 6: Final answer
    x = 569,733.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.