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Finding the Third Proportional to 153,010.50 and 203,271

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Solution

The third proportional to 153,010.50 and 203,271 is: 270,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010.50 : 203,271 = 203,271 : x
  2. Step 2: Convert to fraction form
    153,010.50/203,271 = 203,271/x
  3. Step 3: Cross multiply
    153,010.50x = 203,271 × 203,271
  4. Step 4: Simplify right side
    153,010.50x = 41,319,099,441
  5. Step 5: Solve for x
    x = 41,319,099,441/153,010.50
  6. Step 6: Final answer
    x = 270,040.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.