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Finding the Third Proportional to 248,097.38 and 538,203.75

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Solution

The third proportional to 248,097.38 and 538,203.75 is: 1,167,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,097.38 : 538,203.75 = 538,203.75 : x
  2. Step 2: Convert to fraction form
    248,097.38/538,203.75 = 538,203.75/x
  3. Step 3: Cross multiply
    248,097.38x = 538,203.75 × 538,203.75
  4. Step 4: Simplify right side
    248,097.38x = 289,663,276,514.06
  5. Step 5: Solve for x
    x = 289,663,276,514.06/248,097.38
  6. Step 6: Final answer
    x = 1,167,538.66

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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.