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Finding the Third Proportional to 248,101.10 and 538,210.83

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Solution

The third proportional to 248,101.10 and 538,210.83 is: 1,167,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,101.10 : 538,210.83 = 538,210.83 : x
  2. Step 2: Convert to fraction form
    248,101.10/538,210.83 = 538,210.83/x
  3. Step 3: Cross multiply
    248,101.10x = 538,210.83 × 538,210.83
  4. Step 4: Simplify right side
    248,101.10x = 289,670,895,511.00
  5. Step 5: Solve for x
    x = 289,670,895,511.00/248,101.10
  6. Step 6: Final answer
    x = 1,167,551.83

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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.