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Finding the Third Proportional to 133,106 and 288,343

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Solution

The third proportional to 133,106 and 288,343 is: 624,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,106 : 288,343 = 288,343 : x
  2. Step 2: Convert to fraction form
    133,106/288,343 = 288,343/x
  3. Step 3: Cross multiply
    133,106x = 288,343 × 288,343
  4. Step 4: Simplify right side
    133,106x = 83,141,685,649
  5. Step 5: Solve for x
    x = 83,141,685,649/133,106
  6. Step 6: Final answer
    x = 624,627.63

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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.