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Finding the Third Proportional to 229,860.75 and 356,819.25

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Solution

The third proportional to 229,860.75 and 356,819.25 is: 553,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,860.75 : 356,819.25 = 356,819.25 : x
  2. Step 2: Convert to fraction form
    229,860.75/356,819.25 = 356,819.25/x
  3. Step 3: Cross multiply
    229,860.75x = 356,819.25 × 356,819.25
  4. Step 4: Simplify right side
    229,860.75x = 127,319,977,170.56
  5. Step 5: Solve for x
    x = 127,319,977,170.56/229,860.75
  6. Step 6: Final answer
    x = 553,900.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.