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Finding the Third Proportional to 175,326 and 377,462

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Solution

The third proportional to 175,326 and 377,462 is: 812,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,326 : 377,462 = 377,462 : x
  2. Step 2: Convert to fraction form
    175,326/377,462 = 377,462/x
  3. Step 3: Cross multiply
    175,326x = 377,462 × 377,462
  4. Step 4: Simplify right side
    175,326x = 142,477,561,444
  5. Step 5: Solve for x
    x = 142,477,561,444/175,326
  6. Step 6: Final answer
    x = 812,643.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.