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Finding the Third Proportional to 133,063 and 288,292

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Solution

The third proportional to 133,063 and 288,292 is: 624,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,063 : 288,292 = 288,292 : x
  2. Step 2: Convert to fraction form
    133,063/288,292 = 288,292/x
  3. Step 3: Cross multiply
    133,063x = 288,292 × 288,292
  4. Step 4: Simplify right side
    133,063x = 83,112,277,264
  5. Step 5: Solve for x
    x = 83,112,277,264/133,063
  6. Step 6: Final answer
    x = 624,608.47

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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.