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Finding the Third Proportional to 240,367 and 348,157.50

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Solution

The third proportional to 240,367 and 348,157.50 is: 504,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,367 : 348,157.50 = 348,157.50 : x
  2. Step 2: Convert to fraction form
    240,367/348,157.50 = 348,157.50/x
  3. Step 3: Cross multiply
    240,367x = 348,157.50 × 348,157.50
  4. Step 4: Simplify right side
    240,367x = 121,213,644,806.25
  5. Step 5: Solve for x
    x = 121,213,644,806.25/240,367
  6. Step 6: Final answer
    x = 504,285.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.