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Finding the Third Proportional to 162,744.19 and 352,245.38

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Solution

The third proportional to 162,744.19 and 352,245.38 is: 762,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,744.19 : 352,245.38 = 352,245.38 : x
  2. Step 2: Convert to fraction form
    162,744.19/352,245.38 = 352,245.38/x
  3. Step 3: Cross multiply
    162,744.19x = 352,245.38 × 352,245.38
  4. Step 4: Simplify right side
    162,744.19x = 124,076,804,208.89
  5. Step 5: Solve for x
    x = 124,076,804,208.89/162,744.19
  6. Step 6: Final answer
    x = 762,403.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.