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Finding the Third Proportional to 183,090.38 and 414,031.50

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Solution

The third proportional to 183,090.38 and 414,031.50 is: 936,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,090.38 : 414,031.50 = 414,031.50 : x
  2. Step 2: Convert to fraction form
    183,090.38/414,031.50 = 414,031.50/x
  3. Step 3: Cross multiply
    183,090.38x = 414,031.50 × 414,031.50
  4. Step 4: Simplify right side
    183,090.38x = 171,422,082,992.25
  5. Step 5: Solve for x
    x = 171,422,082,992.25/183,090.38
  6. Step 6: Final answer
    x = 936,270.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.