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Finding the Third Proportional to 119,058 and 254,488.50

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Solution

The third proportional to 119,058 and 254,488.50 is: 543,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,058 : 254,488.50 = 254,488.50 : x
  2. Step 2: Convert to fraction form
    119,058/254,488.50 = 254,488.50/x
  3. Step 3: Cross multiply
    119,058x = 254,488.50 × 254,488.50
  4. Step 4: Simplify right side
    119,058x = 64,764,396,632.25
  5. Step 5: Solve for x
    x = 64,764,396,632.25/119,058
  6. Step 6: Final answer
    x = 543,973.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.