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Finding the Third Proportional to 174,420 and 376,724

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Solution

The third proportional to 174,420 and 376,724 is: 813,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,420 : 376,724 = 376,724 : x
  2. Step 2: Convert to fraction form
    174,420/376,724 = 376,724/x
  3. Step 3: Cross multiply
    174,420x = 376,724 × 376,724
  4. Step 4: Simplify right side
    174,420x = 141,920,972,176
  5. Step 5: Solve for x
    x = 141,920,972,176/174,420
  6. Step 6: Final answer
    x = 813,673.73

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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.