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Finding the Third Proportional to 229,059.50 and 349,512.50

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Solution

The third proportional to 229,059.50 and 349,512.50 is: 533,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,059.50 : 349,512.50 = 349,512.50 : x
  2. Step 2: Convert to fraction form
    229,059.50/349,512.50 = 349,512.50/x
  3. Step 3: Cross multiply
    229,059.50x = 349,512.50 × 349,512.50
  4. Step 4: Simplify right side
    229,059.50x = 122,158,987,656.25
  5. Step 5: Solve for x
    x = 122,158,987,656.25/229,059.50
  6. Step 6: Final answer
    x = 533,306.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.