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Finding the Third Proportional to 175,600 and 250,942.50

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Solution

The third proportional to 175,600 and 250,942.50 is: 358,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,600 : 250,942.50 = 250,942.50 : x
  2. Step 2: Convert to fraction form
    175,600/250,942.50 = 250,942.50/x
  3. Step 3: Cross multiply
    175,600x = 250,942.50 × 250,942.50
  4. Step 4: Simplify right side
    175,600x = 62,972,138,306.25
  5. Step 5: Solve for x
    x = 62,972,138,306.25/175,600
  6. Step 6: Final answer
    x = 358,611.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.