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Finding the Third Proportional to 199,284 and 304,764

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Solution

The third proportional to 199,284 and 304,764 is: 466,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,284 : 304,764 = 304,764 : x
  2. Step 2: Convert to fraction form
    199,284/304,764 = 304,764/x
  3. Step 3: Cross multiply
    199,284x = 304,764 × 304,764
  4. Step 4: Simplify right side
    199,284x = 92,881,095,696
  5. Step 5: Solve for x
    x = 92,881,095,696/199,284
  6. Step 6: Final answer
    x = 466,074.02

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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.