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Finding the Third Proportional to 236,341.50 and 353,670

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Solution

The third proportional to 236,341.50 and 353,670 is: 529,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,341.50 : 353,670 = 353,670 : x
  2. Step 2: Convert to fraction form
    236,341.50/353,670 = 353,670/x
  3. Step 3: Cross multiply
    236,341.50x = 353,670 × 353,670
  4. Step 4: Simplify right side
    236,341.50x = 125,082,468,900
  5. Step 5: Solve for x
    x = 125,082,468,900/236,341.50
  6. Step 6: Final answer
    x = 529,244.63

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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.