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Finding the Third Proportional to 229,411.50 and 343,958.13

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Solution

The third proportional to 229,411.50 and 343,958.13 is: 515,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.50 : 343,958.13 = 343,958.13 : x
  2. Step 2: Convert to fraction form
    229,411.50/343,958.13 = 343,958.13/x
  3. Step 3: Cross multiply
    229,411.50x = 343,958.13 × 343,958.13
  4. Step 4: Simplify right side
    229,411.50x = 118,307,191,753.52
  5. Step 5: Solve for x
    x = 118,307,191,753.52/229,411.50
  6. Step 6: Final answer
    x = 515,698.61

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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.