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Finding the Third Proportional to 162,105.05 and 233,487.56

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Solution

The third proportional to 162,105.05 and 233,487.56 is: 336,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,105.05 : 233,487.56 = 233,487.56 : x
  2. Step 2: Convert to fraction form
    162,105.05/233,487.56 = 233,487.56/x
  3. Step 3: Cross multiply
    162,105.05x = 233,487.56 × 233,487.56
  4. Step 4: Simplify right side
    162,105.05x = 54,516,441,842.19
  5. Step 5: Solve for x
    x = 54,516,441,842.19/162,105.05
  6. Step 6: Final answer
    x = 336,303.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.