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Finding the Third Proportional to 162,756.21 and 356,543.44

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Solution

The third proportional to 162,756.21 and 356,543.44 is: 781,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,756.21 : 356,543.44 = 356,543.44 : x
  2. Step 2: Convert to fraction form
    162,756.21/356,543.44 = 356,543.44/x
  3. Step 3: Cross multiply
    162,756.21x = 356,543.44 × 356,543.44
  4. Step 4: Simplify right side
    162,756.21x = 127,123,222,824.32
  5. Step 5: Solve for x
    x = 127,123,222,824.32/162,756.21
  6. Step 6: Final answer
    x = 781,065.26

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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.