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Finding the Third Proportional to 79,828 and 175,207

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Solution

The third proportional to 79,828 and 175,207 is: 384,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,828 : 175,207 = 175,207 : x
  2. Step 2: Convert to fraction form
    79,828/175,207 = 175,207/x
  3. Step 3: Cross multiply
    79,828x = 175,207 × 175,207
  4. Step 4: Simplify right side
    79,828x = 30,697,492,849
  5. Step 5: Solve for x
    x = 30,697,492,849/79,828
  6. Step 6: Final answer
    x = 384,545.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.