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Finding the Third Proportional to 193,503 and 291,388.50

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Solution

The third proportional to 193,503 and 291,388.50 is: 438,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,503 : 291,388.50 = 291,388.50 : x
  2. Step 2: Convert to fraction form
    193,503/291,388.50 = 291,388.50/x
  3. Step 3: Cross multiply
    193,503x = 291,388.50 × 291,388.50
  4. Step 4: Simplify right side
    193,503x = 84,907,257,932.25
  5. Step 5: Solve for x
    x = 84,907,257,932.25/193,503
  6. Step 6: Final answer
    x = 438,790.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.