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Finding the Third Proportional to 207,364 and 304,418

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Solution

The third proportional to 207,364 and 304,418 is: 446,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 304,418 = 304,418 : x
  2. Step 2: Convert to fraction form
    207,364/304,418 = 304,418/x
  3. Step 3: Cross multiply
    207,364x = 304,418 × 304,418
  4. Step 4: Simplify right side
    207,364x = 92,670,318,724
  5. Step 5: Solve for x
    x = 92,670,318,724/207,364
  6. Step 6: Final answer
    x = 446,896.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.