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Finding the Third Proportional to 131,024.25 and 279,207

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Solution

The third proportional to 131,024.25 and 279,207 is: 594,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,024.25 : 279,207 = 279,207 : x
  2. Step 2: Convert to fraction form
    131,024.25/279,207 = 279,207/x
  3. Step 3: Cross multiply
    131,024.25x = 279,207 × 279,207
  4. Step 4: Simplify right side
    131,024.25x = 77,956,548,849
  5. Step 5: Solve for x
    x = 77,956,548,849/131,024.25
  6. Step 6: Final answer
    x = 594,978.02

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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.