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Finding the Third Proportional to 162,457.75 and 362,269.56

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Solution

The third proportional to 162,457.75 and 362,269.56 is: 807,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,457.75 : 362,269.56 = 362,269.56 : x
  2. Step 2: Convert to fraction form
    162,457.75/362,269.56 = 362,269.56/x
  3. Step 3: Cross multiply
    162,457.75x = 362,269.56 × 362,269.56
  4. Step 4: Simplify right side
    162,457.75x = 131,239,235,913.94
  5. Step 5: Solve for x
    x = 131,239,235,913.94/162,457.75
  6. Step 6: Final answer
    x = 807,836.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.