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Finding the Third Proportional to 158,291.63 and 237,162.38

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Solution

The third proportional to 158,291.63 and 237,162.38 is: 355,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,291.63 : 237,162.38 = 237,162.38 : x
  2. Step 2: Convert to fraction form
    158,291.63/237,162.38 = 237,162.38/x
  3. Step 3: Cross multiply
    158,291.63x = 237,162.38 × 237,162.38
  4. Step 4: Simplify right side
    158,291.63x = 56,245,992,115.64
  5. Step 5: Solve for x
    x = 56,245,992,115.64/158,291.63
  6. Step 6: Final answer
    x = 355,331.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.