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Finding the Third Proportional to 207,942 and 304,498

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Solution

The third proportional to 207,942 and 304,498 is: 445,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,942 : 304,498 = 304,498 : x
  2. Step 2: Convert to fraction form
    207,942/304,498 = 304,498/x
  3. Step 3: Cross multiply
    207,942x = 304,498 × 304,498
  4. Step 4: Simplify right side
    207,942x = 92,719,032,004
  5. Step 5: Solve for x
    x = 92,719,032,004/207,942
  6. Step 6: Final answer
    x = 445,888.91

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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.