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Finding the Third Proportional to 162,270.56 and 353,114.44

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Solution

The third proportional to 162,270.56 and 353,114.44 is: 768,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,270.56 : 353,114.44 = 353,114.44 : x
  2. Step 2: Convert to fraction form
    162,270.56/353,114.44 = 353,114.44/x
  3. Step 3: Cross multiply
    162,270.56x = 353,114.44 × 353,114.44
  4. Step 4: Simplify right side
    162,270.56x = 124,689,805,970.94
  5. Step 5: Solve for x
    x = 124,689,805,970.94/162,270.56
  6. Step 6: Final answer
    x = 768,406.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.