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Finding the Third Proportional to 100,264.50 and 241,366.50

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Solution

The third proportional to 100,264.50 and 241,366.50 is: 581,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.50 : 241,366.50 = 241,366.50 : x
  2. Step 2: Convert to fraction form
    100,264.50/241,366.50 = 241,366.50/x
  3. Step 3: Cross multiply
    100,264.50x = 241,366.50 × 241,366.50
  4. Step 4: Simplify right side
    100,264.50x = 58,257,787,322.25
  5. Step 5: Solve for x
    x = 58,257,787,322.25/100,264.50
  6. Step 6: Final answer
    x = 581,041.02

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.