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Finding the Third Proportional to 158,765.63 and 342,458.63

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Solution

The third proportional to 158,765.63 and 342,458.63 is: 738,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,765.63 : 342,458.63 = 342,458.63 : x
  2. Step 2: Convert to fraction form
    158,765.63/342,458.63 = 342,458.63/x
  3. Step 3: Cross multiply
    158,765.63x = 342,458.63 × 342,458.63
  4. Step 4: Simplify right side
    158,765.63x = 117,277,909,836.89
  5. Step 5: Solve for x
    x = 117,277,909,836.89/158,765.63
  6. Step 6: Final answer
    x = 738,685.78

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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.