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Finding the Third Proportional to 223,033.50 and 317,942.25

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Solution

The third proportional to 223,033.50 and 317,942.25 is: 453,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,033.50 : 317,942.25 = 317,942.25 : x
  2. Step 2: Convert to fraction form
    223,033.50/317,942.25 = 317,942.25/x
  3. Step 3: Cross multiply
    223,033.50x = 317,942.25 × 317,942.25
  4. Step 4: Simplify right side
    223,033.50x = 101,087,274,335.06
  5. Step 5: Solve for x
    x = 101,087,274,335.06/223,033.50
  6. Step 6: Final answer
    x = 453,238.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.