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Finding the Third Proportional to 162,933.75 and 227,623.50

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Solution

The third proportional to 162,933.75 and 227,623.50 is: 317,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,933.75 : 227,623.50 = 227,623.50 : x
  2. Step 2: Convert to fraction form
    162,933.75/227,623.50 = 227,623.50/x
  3. Step 3: Cross multiply
    162,933.75x = 227,623.50 × 227,623.50
  4. Step 4: Simplify right side
    162,933.75x = 51,812,457,752.25
  5. Step 5: Solve for x
    x = 51,812,457,752.25/162,933.75
  6. Step 6: Final answer
    x = 317,997.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.