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Finding the Third Proportional to 203,388.19 and 423,610.50

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Solution

The third proportional to 203,388.19 and 423,610.50 is: 882,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,388.19 : 423,610.50 = 423,610.50 : x
  2. Step 2: Convert to fraction form
    203,388.19/423,610.50 = 423,610.50/x
  3. Step 3: Cross multiply
    203,388.19x = 423,610.50 × 423,610.50
  4. Step 4: Simplify right side
    203,388.19x = 179,445,855,710.25
  5. Step 5: Solve for x
    x = 179,445,855,710.25/203,388.19
  6. Step 6: Final answer
    x = 882,282.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.