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Finding the Third Proportional to 250,144 and 546,997.50

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Solution

The third proportional to 250,144 and 546,997.50 is: 1,196,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,144 : 546,997.50 = 546,997.50 : x
  2. Step 2: Convert to fraction form
    250,144/546,997.50 = 546,997.50/x
  3. Step 3: Cross multiply
    250,144x = 546,997.50 × 546,997.50
  4. Step 4: Simplify right side
    250,144x = 299,206,265,006.25
  5. Step 5: Solve for x
    x = 299,206,265,006.25/250,144
  6. Step 6: Final answer
    x = 1,196,136.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.