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Finding the Third Proportional to 158,908.08 and 343,023.61

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Solution

The third proportional to 158,908.08 and 343,023.61 is: 740,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,908.08 : 343,023.61 = 343,023.61 : x
  2. Step 2: Convert to fraction form
    158,908.08/343,023.61 = 343,023.61/x
  3. Step 3: Cross multiply
    158,908.08x = 343,023.61 × 343,023.61
  4. Step 4: Simplify right side
    158,908.08x = 117,665,196,588.65
  5. Step 5: Solve for x
    x = 117,665,196,588.65/158,908.08
  6. Step 6: Final answer
    x = 740,460.76

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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.