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Finding the Third Proportional to 179,724 and 279,432

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Solution

The third proportional to 179,724 and 279,432 is: 434,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,724 : 279,432 = 279,432 : x
  2. Step 2: Convert to fraction form
    179,724/279,432 = 279,432/x
  3. Step 3: Cross multiply
    179,724x = 279,432 × 279,432
  4. Step 4: Simplify right side
    179,724x = 78,082,242,624
  5. Step 5: Solve for x
    x = 78,082,242,624/179,724
  6. Step 6: Final answer
    x = 434,456.40

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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.