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Finding the Third Proportional to 173,148 and 378,072

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Solution

The third proportional to 173,148 and 378,072 is: 825,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,148 : 378,072 = 378,072 : x
  2. Step 2: Convert to fraction form
    173,148/378,072 = 378,072/x
  3. Step 3: Cross multiply
    173,148x = 378,072 × 378,072
  4. Step 4: Simplify right side
    173,148x = 142,938,437,184
  5. Step 5: Solve for x
    x = 142,938,437,184/173,148
  6. Step 6: Final answer
    x = 825,527.51

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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.