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Finding the Third Proportional to 174,883 and 376,522

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Solution

The third proportional to 174,883 and 376,522 is: 810,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,883 : 376,522 = 376,522 : x
  2. Step 2: Convert to fraction form
    174,883/376,522 = 376,522/x
  3. Step 3: Cross multiply
    174,883x = 376,522 × 376,522
  4. Step 4: Simplify right side
    174,883x = 141,768,816,484
  5. Step 5: Solve for x
    x = 141,768,816,484/174,883
  6. Step 6: Final answer
    x = 810,649.50

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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.