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Finding the Third Proportional to 180,298 and 384,724

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Solution

The third proportional to 180,298 and 384,724 is: 820,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,298 : 384,724 = 384,724 : x
  2. Step 2: Convert to fraction form
    180,298/384,724 = 384,724/x
  3. Step 3: Cross multiply
    180,298x = 384,724 × 384,724
  4. Step 4: Simplify right side
    180,298x = 148,012,556,176
  5. Step 5: Solve for x
    x = 148,012,556,176/180,298
  6. Step 6: Final answer
    x = 820,932.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.