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Finding the Third Proportional to 200,103 and 306,054

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Solution

The third proportional to 200,103 and 306,054 is: 468,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,103 : 306,054 = 306,054 : x
  2. Step 2: Convert to fraction form
    200,103/306,054 = 306,054/x
  3. Step 3: Cross multiply
    200,103x = 306,054 × 306,054
  4. Step 4: Simplify right side
    200,103x = 93,669,050,916
  5. Step 5: Solve for x
    x = 93,669,050,916/200,103
  6. Step 6: Final answer
    x = 468,104.18

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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.