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Finding the Third Proportional to 207,547 and 303,918

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Solution

The third proportional to 207,547 and 303,918 is: 445,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,547 : 303,918 = 303,918 : x
  2. Step 2: Convert to fraction form
    207,547/303,918 = 303,918/x
  3. Step 3: Cross multiply
    207,547x = 303,918 × 303,918
  4. Step 4: Simplify right side
    207,547x = 92,366,150,724
  5. Step 5: Solve for x
    x = 92,366,150,724/207,547
  6. Step 6: Final answer
    x = 445,037.27

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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.