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Finding the Third Proportional to 204,047 and 306,072

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Solution

The third proportional to 204,047 and 306,072 is: 459,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,047 : 306,072 = 306,072 : x
  2. Step 2: Convert to fraction form
    204,047/306,072 = 306,072/x
  3. Step 3: Cross multiply
    204,047x = 306,072 × 306,072
  4. Step 4: Simplify right side
    204,047x = 93,680,069,184
  5. Step 5: Solve for x
    x = 93,680,069,184/204,047
  6. Step 6: Final answer
    x = 459,110.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.