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Finding the Third Proportional to 229,100 and 349,566

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Solution

The third proportional to 229,100 and 349,566 is: 533,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,100 : 349,566 = 349,566 : x
  2. Step 2: Convert to fraction form
    229,100/349,566 = 349,566/x
  3. Step 3: Cross multiply
    229,100x = 349,566 × 349,566
  4. Step 4: Simplify right side
    229,100x = 122,196,388,356
  5. Step 5: Solve for x
    x = 122,196,388,356/229,100
  6. Step 6: Final answer
    x = 533,375.77

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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.