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Finding the Third Proportional to 179,828 and 279,402

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Solution

The third proportional to 179,828 and 279,402 is: 434,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,828 : 279,402 = 279,402 : x
  2. Step 2: Convert to fraction form
    179,828/279,402 = 279,402/x
  3. Step 3: Cross multiply
    179,828x = 279,402 × 279,402
  4. Step 4: Simplify right side
    179,828x = 78,065,477,604
  5. Step 5: Solve for x
    x = 78,065,477,604/179,828
  6. Step 6: Final answer
    x = 434,111.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.