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Finding the Third Proportional to 267,154 and 393,666

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Solution

The third proportional to 267,154 and 393,666 is: 580,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,154 : 393,666 = 393,666 : x
  2. Step 2: Convert to fraction form
    267,154/393,666 = 393,666/x
  3. Step 3: Cross multiply
    267,154x = 393,666 × 393,666
  4. Step 4: Simplify right side
    267,154x = 154,972,919,556
  5. Step 5: Solve for x
    x = 154,972,919,556/267,154
  6. Step 6: Final answer
    x = 580,088.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.