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Finding the Third Proportional to 229,098 and 349,563

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Solution

The third proportional to 229,098 and 349,563 is: 533,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,098 : 349,563 = 349,563 : x
  2. Step 2: Convert to fraction form
    229,098/349,563 = 349,563/x
  3. Step 3: Cross multiply
    229,098x = 349,563 × 349,563
  4. Step 4: Simplify right side
    229,098x = 122,194,290,969
  5. Step 5: Solve for x
    x = 122,194,290,969/229,098
  6. Step 6: Final answer
    x = 533,371.27

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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.