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Finding the Third Proportional to 268,203 and 558,451.50

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Solution

The third proportional to 268,203 and 558,451.50 is: 1,162,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,203 : 558,451.50 = 558,451.50 : x
  2. Step 2: Convert to fraction form
    268,203/558,451.50 = 558,451.50/x
  3. Step 3: Cross multiply
    268,203x = 558,451.50 × 558,451.50
  4. Step 4: Simplify right side
    268,203x = 311,868,077,852.25
  5. Step 5: Solve for x
    x = 311,868,077,852.25/268,203
  6. Step 6: Final answer
    x = 1,162,806.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.