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Finding the Third Proportional to 142,818.19 and 338,362.31

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Solution

The third proportional to 142,818.19 and 338,362.31 is: 801,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,818.19 : 338,362.31 = 338,362.31 : x
  2. Step 2: Convert to fraction form
    142,818.19/338,362.31 = 338,362.31/x
  3. Step 3: Cross multiply
    142,818.19x = 338,362.31 × 338,362.31
  4. Step 4: Simplify right side
    142,818.19x = 114,489,054,520.35
  5. Step 5: Solve for x
    x = 114,489,054,520.35/142,818.19
  6. Step 6: Final answer
    x = 801,641.98

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.