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Finding the Third Proportional to 162,764.44 and 357,043.78

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Solution

The third proportional to 162,764.44 and 357,043.78 is: 783,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,764.44 : 357,043.78 = 357,043.78 : x
  2. Step 2: Convert to fraction form
    162,764.44/357,043.78 = 357,043.78/x
  3. Step 3: Cross multiply
    162,764.44x = 357,043.78 × 357,043.78
  4. Step 4: Simplify right side
    162,764.44x = 127,480,261,729.30
  5. Step 5: Solve for x
    x = 127,480,261,729.30/162,764.44
  6. Step 6: Final answer
    x = 783,219.38

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Why These Related Problems?

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