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Finding the Third Proportional to 175,463 and 250,923

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Solution

The third proportional to 175,463 and 250,923 is: 358,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,463 : 250,923 = 250,923 : x
  2. Step 2: Convert to fraction form
    175,463/250,923 = 250,923/x
  3. Step 3: Cross multiply
    175,463x = 250,923 × 250,923
  4. Step 4: Simplify right side
    175,463x = 62,962,351,929
  5. Step 5: Solve for x
    x = 62,962,351,929/175,463
  6. Step 6: Final answer
    x = 358,835.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.