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Finding the Third Proportional to 158,765.34 and 342,458.44

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Solution

The third proportional to 158,765.34 and 342,458.44 is: 738,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,765.34 : 342,458.44 = 342,458.44 : x
  2. Step 2: Convert to fraction form
    158,765.34/342,458.44 = 342,458.44/x
  3. Step 3: Cross multiply
    158,765.34x = 342,458.44 × 342,458.44
  4. Step 4: Simplify right side
    158,765.34x = 117,277,781,414.94
  5. Step 5: Solve for x
    x = 117,277,781,414.94/158,765.34
  6. Step 6: Final answer
    x = 738,686.28

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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.