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Finding the Third Proportional to 248,059.50 and 538,128

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Solution

The third proportional to 248,059.50 and 538,128 is: 1,167,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,059.50 : 538,128 = 538,128 : x
  2. Step 2: Convert to fraction form
    248,059.50/538,128 = 538,128/x
  3. Step 3: Cross multiply
    248,059.50x = 538,128 × 538,128
  4. Step 4: Simplify right side
    248,059.50x = 289,581,744,384
  5. Step 5: Solve for x
    x = 289,581,744,384/248,059.50
  6. Step 6: Final answer
    x = 1,167,388.25

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