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Finding the Third Proportional to 208,045 and 304,662

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Solution

The third proportional to 208,045 and 304,662 is: 446,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045 : 304,662 = 304,662 : x
  2. Step 2: Convert to fraction form
    208,045/304,662 = 304,662/x
  3. Step 3: Cross multiply
    208,045x = 304,662 × 304,662
  4. Step 4: Simplify right side
    208,045x = 92,818,934,244
  5. Step 5: Solve for x
    x = 92,818,934,244/208,045
  6. Step 6: Final answer
    x = 446,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.