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Finding the Third Proportional to 176,106 and 264,993

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Solution

The third proportional to 176,106 and 264,993 is: 398,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,106 : 264,993 = 264,993 : x
  2. Step 2: Convert to fraction form
    176,106/264,993 = 264,993/x
  3. Step 3: Cross multiply
    176,106x = 264,993 × 264,993
  4. Step 4: Simplify right side
    176,106x = 70,221,290,049
  5. Step 5: Solve for x
    x = 70,221,290,049/176,106
  6. Step 6: Final answer
    x = 398,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.