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Finding the Third Proportional to 229,031.30 and 356,634.77

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Solution

The third proportional to 229,031.30 and 356,634.77 is: 555,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,031.30 : 356,634.77 = 356,634.77 : x
  2. Step 2: Convert to fraction form
    229,031.30/356,634.77 = 356,634.77/x
  3. Step 3: Cross multiply
    229,031.30x = 356,634.77 × 356,634.77
  4. Step 4: Simplify right side
    229,031.30x = 127,188,361,624.82
  5. Step 5: Solve for x
    x = 127,188,361,624.82/229,031.30
  6. Step 6: Final answer
    x = 555,331.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.