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Finding the Third Proportional to 173,082 and 372,948

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Solution

The third proportional to 173,082 and 372,948 is: 803,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,082 : 372,948 = 372,948 : x
  2. Step 2: Convert to fraction form
    173,082/372,948 = 372,948/x
  3. Step 3: Cross multiply
    173,082x = 372,948 × 372,948
  4. Step 4: Simplify right side
    173,082x = 139,090,210,704
  5. Step 5: Solve for x
    x = 139,090,210,704/173,082
  6. Step 6: Final answer
    x = 803,608.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.