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Finding the Third Proportional to 173,903 and 366,486

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Solution

The third proportional to 173,903 and 366,486 is: 772,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,903 : 366,486 = 366,486 : x
  2. Step 2: Convert to fraction form
    173,903/366,486 = 366,486/x
  3. Step 3: Cross multiply
    173,903x = 366,486 × 366,486
  4. Step 4: Simplify right side
    173,903x = 134,311,988,196
  5. Step 5: Solve for x
    x = 134,311,988,196/173,903
  6. Step 6: Final answer
    x = 772,338.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.