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Finding the Third Proportional to 174,537 and 376,923

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Solution

The third proportional to 174,537 and 376,923 is: 813,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,537 : 376,923 = 376,923 : x
  2. Step 2: Convert to fraction form
    174,537/376,923 = 376,923/x
  3. Step 3: Cross multiply
    174,537x = 376,923 × 376,923
  4. Step 4: Simplify right side
    174,537x = 142,070,947,929
  5. Step 5: Solve for x
    x = 142,070,947,929/174,537
  6. Step 6: Final answer
    x = 813,987.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.