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Finding the Third Proportional to 173,304 and 377,948

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Solution

The third proportional to 173,304 and 377,948 is: 824,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,304 : 377,948 = 377,948 : x
  2. Step 2: Convert to fraction form
    173,304/377,948 = 377,948/x
  3. Step 3: Cross multiply
    173,304x = 377,948 × 377,948
  4. Step 4: Simplify right side
    173,304x = 142,844,690,704
  5. Step 5: Solve for x
    x = 142,844,690,704/173,304
  6. Step 6: Final answer
    x = 824,243.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.