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Finding the Third Proportional to 129,705.50 and 279,422

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Solution

The third proportional to 129,705.50 and 279,422 is: 601,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705.50 : 279,422 = 279,422 : x
  2. Step 2: Convert to fraction form
    129,705.50/279,422 = 279,422/x
  3. Step 3: Cross multiply
    129,705.50x = 279,422 × 279,422
  4. Step 4: Simplify right side
    129,705.50x = 78,076,654,084
  5. Step 5: Solve for x
    x = 78,076,654,084/129,705.50
  6. Step 6: Final answer
    x = 601,953.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.