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Finding the Third Proportional to 251,267.75 and 546,832

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Solution

The third proportional to 251,267.75 and 546,832 is: 1,190,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,267.75 : 546,832 = 546,832 : x
  2. Step 2: Convert to fraction form
    251,267.75/546,832 = 546,832/x
  3. Step 3: Cross multiply
    251,267.75x = 546,832 × 546,832
  4. Step 4: Simplify right side
    251,267.75x = 299,025,236,224
  5. Step 5: Solve for x
    x = 299,025,236,224/251,267.75
  6. Step 6: Final answer
    x = 1,190,066.12

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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.