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Finding the Third Proportional to 183,290 and 413,873

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Solution

The third proportional to 183,290 and 413,873 is: 934,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,290 : 413,873 = 413,873 : x
  2. Step 2: Convert to fraction form
    183,290/413,873 = 413,873/x
  3. Step 3: Cross multiply
    183,290x = 413,873 × 413,873
  4. Step 4: Simplify right side
    183,290x = 171,290,860,129
  5. Step 5: Solve for x
    x = 171,290,860,129/183,290
  6. Step 6: Final answer
    x = 934,534.67

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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.