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Finding the Third Proportional to 199,584 and 299,352

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Solution

The third proportional to 199,584 and 299,352 is: 448,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584 : 299,352 = 299,352 : x
  2. Step 2: Convert to fraction form
    199,584/299,352 = 299,352/x
  3. Step 3: Cross multiply
    199,584x = 299,352 × 299,352
  4. Step 4: Simplify right side
    199,584x = 89,611,619,904
  5. Step 5: Solve for x
    x = 89,611,619,904/199,584
  6. Step 6: Final answer
    x = 448,992.00

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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.