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Finding the Third Proportional to 173,472 and 378,690

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Solution

The third proportional to 173,472 and 378,690 is: 826,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,472 : 378,690 = 378,690 : x
  2. Step 2: Convert to fraction form
    173,472/378,690 = 378,690/x
  3. Step 3: Cross multiply
    173,472x = 378,690 × 378,690
  4. Step 4: Simplify right side
    173,472x = 143,406,116,100
  5. Step 5: Solve for x
    x = 143,406,116,100/173,472
  6. Step 6: Final answer
    x = 826,681.63

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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.