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Finding the Third Proportional to 133,170 and 288,516

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Solution

The third proportional to 133,170 and 288,516 is: 625,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,170 : 288,516 = 288,516 : x
  2. Step 2: Convert to fraction form
    133,170/288,516 = 288,516/x
  3. Step 3: Cross multiply
    133,170x = 288,516 × 288,516
  4. Step 4: Simplify right side
    133,170x = 83,241,482,256
  5. Step 5: Solve for x
    x = 83,241,482,256/133,170
  6. Step 6: Final answer
    x = 625,076.84

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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.