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Finding the Third Proportional to 248,364 and 538,200

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Solution

The third proportional to 248,364 and 538,200 is: 1,166,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,364 : 538,200 = 538,200 : x
  2. Step 2: Convert to fraction form
    248,364/538,200 = 538,200/x
  3. Step 3: Cross multiply
    248,364x = 538,200 × 538,200
  4. Step 4: Simplify right side
    248,364x = 289,659,240,000
  5. Step 5: Solve for x
    x = 289,659,240,000/248,364
  6. Step 6: Final answer
    x = 1,166,269.02

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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.