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Finding the Third Proportional to 229,059 and 349,511.63

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Solution

The third proportional to 229,059 and 349,511.63 is: 533,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,059 : 349,511.63 = 349,511.63 : x
  2. Step 2: Convert to fraction form
    229,059/349,511.63 = 349,511.63/x
  3. Step 3: Cross multiply
    229,059x = 349,511.63 × 349,511.63
  4. Step 4: Simplify right side
    229,059x = 122,158,376,010.14
  5. Step 5: Solve for x
    x = 122,158,376,010.14/229,059
  6. Step 6: Final answer
    x = 533,305.29

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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.