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Finding the Third Proportional to 133,046 and 288,223

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Solution

The third proportional to 133,046 and 288,223 is: 624,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 288,223 = 288,223 : x
  2. Step 2: Convert to fraction form
    133,046/288,223 = 288,223/x
  3. Step 3: Cross multiply
    133,046x = 288,223 × 288,223
  4. Step 4: Simplify right side
    133,046x = 83,072,497,729
  5. Step 5: Solve for x
    x = 83,072,497,729/133,046
  6. Step 6: Final answer
    x = 624,389.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.