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Finding the Third Proportional to 119,090.25 and 257,620.50

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Solution

The third proportional to 119,090.25 and 257,620.50 is: 557,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.25 : 257,620.50 = 257,620.50 : x
  2. Step 2: Convert to fraction form
    119,090.25/257,620.50 = 257,620.50/x
  3. Step 3: Cross multiply
    119,090.25x = 257,620.50 × 257,620.50
  4. Step 4: Simplify right side
    119,090.25x = 66,368,322,020.25
  5. Step 5: Solve for x
    x = 66,368,322,020.25/119,090.25
  6. Step 6: Final answer
    x = 557,294.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.