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Finding the Third Proportional to 251,754 and 546,168

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Solution

The third proportional to 251,754 and 546,168 is: 1,184,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,754 : 546,168 = 546,168 : x
  2. Step 2: Convert to fraction form
    251,754/546,168 = 546,168/x
  3. Step 3: Cross multiply
    251,754x = 546,168 × 546,168
  4. Step 4: Simplify right side
    251,754x = 298,299,484,224
  5. Step 5: Solve for x
    x = 298,299,484,224/251,754
  6. Step 6: Final answer
    x = 1,184,884.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.