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Finding the Third Proportional to 251,448.75 and 547,114.50

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Solution

The third proportional to 251,448.75 and 547,114.50 is: 1,190,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,448.75 : 547,114.50 = 547,114.50 : x
  2. Step 2: Convert to fraction form
    251,448.75/547,114.50 = 547,114.50/x
  3. Step 3: Cross multiply
    251,448.75x = 547,114.50 × 547,114.50
  4. Step 4: Simplify right side
    251,448.75x = 299,334,276,110.25
  5. Step 5: Solve for x
    x = 299,334,276,110.25/251,448.75
  6. Step 6: Final answer
    x = 1,190,438.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.