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Finding the Third Proportional to 193,090.88 and 420,508.75

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Solution

The third proportional to 193,090.88 and 420,508.75 is: 915,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,090.88 : 420,508.75 = 420,508.75 : x
  2. Step 2: Convert to fraction form
    193,090.88/420,508.75 = 420,508.75/x
  3. Step 3: Cross multiply
    193,090.88x = 420,508.75 × 420,508.75
  4. Step 4: Simplify right side
    193,090.88x = 176,827,608,826.56
  5. Step 5: Solve for x
    x = 176,827,608,826.56/193,090.88
  6. Step 6: Final answer
    x = 915,774.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.