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Finding the Third Proportional to 175,131 and 271,687.50

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Solution

The third proportional to 175,131 and 271,687.50 is: 421,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,131 : 271,687.50 = 271,687.50 : x
  2. Step 2: Convert to fraction form
    175,131/271,687.50 = 271,687.50/x
  3. Step 3: Cross multiply
    175,131x = 271,687.50 × 271,687.50
  4. Step 4: Simplify right side
    175,131x = 73,814,097,656.25
  5. Step 5: Solve for x
    x = 73,814,097,656.25/175,131
  6. Step 6: Final answer
    x = 421,479.34

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