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Finding the Third Proportional to 223,533 and 313,975.50

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Solution

The third proportional to 223,533 and 313,975.50 is: 441,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,533 : 313,975.50 = 313,975.50 : x
  2. Step 2: Convert to fraction form
    223,533/313,975.50 = 313,975.50/x
  3. Step 3: Cross multiply
    223,533x = 313,975.50 × 313,975.50
  4. Step 4: Simplify right side
    223,533x = 98,580,614,600.25
  5. Step 5: Solve for x
    x = 98,580,614,600.25/223,533
  6. Step 6: Final answer
    x = 441,011.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.