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Finding the Third Proportional to 201,533 and 301,245.50

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Solution

The third proportional to 201,533 and 301,245.50 is: 450,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,533 : 301,245.50 = 301,245.50 : x
  2. Step 2: Convert to fraction form
    201,533/301,245.50 = 301,245.50/x
  3. Step 3: Cross multiply
    201,533x = 301,245.50 × 301,245.50
  4. Step 4: Simplify right side
    201,533x = 90,748,851,270.25
  5. Step 5: Solve for x
    x = 90,748,851,270.25/201,533
  6. Step 6: Final answer
    x = 450,292.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.