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Finding the Third Proportional to 229,072 and 349,530

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Solution

The third proportional to 229,072 and 349,530 is: 533,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,072 : 349,530 = 349,530 : x
  2. Step 2: Convert to fraction form
    229,072/349,530 = 349,530/x
  3. Step 3: Cross multiply
    229,072x = 349,530 × 349,530
  4. Step 4: Simplify right side
    229,072x = 122,171,220,900
  5. Step 5: Solve for x
    x = 122,171,220,900/229,072
  6. Step 6: Final answer
    x = 533,331.10

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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.