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Finding the Third Proportional to 173,271 and 376,188

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Solution

The third proportional to 173,271 and 376,188 is: 816,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,271 : 376,188 = 376,188 : x
  2. Step 2: Convert to fraction form
    173,271/376,188 = 376,188/x
  3. Step 3: Cross multiply
    173,271x = 376,188 × 376,188
  4. Step 4: Simplify right side
    173,271x = 141,517,411,344
  5. Step 5: Solve for x
    x = 141,517,411,344/173,271
  6. Step 6: Final answer
    x = 816,740.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.