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Finding the Third Proportional to 154,082 and 329,913

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Solution

The third proportional to 154,082 and 329,913 is: 706,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,082 : 329,913 = 329,913 : x
  2. Step 2: Convert to fraction form
    154,082/329,913 = 329,913/x
  3. Step 3: Cross multiply
    154,082x = 329,913 × 329,913
  4. Step 4: Simplify right side
    154,082x = 108,842,587,569
  5. Step 5: Solve for x
    x = 108,842,587,569/154,082
  6. Step 6: Final answer
    x = 706,393.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.