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Finding the Third Proportional to 199,169 and 304,562

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Solution

The third proportional to 199,169 and 304,562 is: 465,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,169 : 304,562 = 304,562 : x
  2. Step 2: Convert to fraction form
    199,169/304,562 = 304,562/x
  3. Step 3: Cross multiply
    199,169x = 304,562 × 304,562
  4. Step 4: Simplify right side
    199,169x = 92,758,011,844
  5. Step 5: Solve for x
    x = 92,758,011,844/199,169
  6. Step 6: Final answer
    x = 465,725.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.