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Finding the Third Proportional to 133,098 and 288,328

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Solution

The third proportional to 133,098 and 288,328 is: 624,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 288,328 = 288,328 : x
  2. Step 2: Convert to fraction form
    133,098/288,328 = 288,328/x
  3. Step 3: Cross multiply
    133,098x = 288,328 × 288,328
  4. Step 4: Simplify right side
    133,098x = 83,133,035,584
  5. Step 5: Solve for x
    x = 83,133,035,584/133,098
  6. Step 6: Final answer
    x = 624,600.19

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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.