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Finding the Third Proportional to 238,201.50 and 523,063.50

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Solution

The third proportional to 238,201.50 and 523,063.50 is: 1,148,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,201.50 : 523,063.50 = 523,063.50 : x
  2. Step 2: Convert to fraction form
    238,201.50/523,063.50 = 523,063.50/x
  3. Step 3: Cross multiply
    238,201.50x = 523,063.50 × 523,063.50
  4. Step 4: Simplify right side
    238,201.50x = 273,595,425,032.25
  5. Step 5: Solve for x
    x = 273,595,425,032.25/238,201.50
  6. Step 6: Final answer
    x = 1,148,588.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.