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Finding the Third Proportional to 133,097 and 288,324

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Solution

The third proportional to 133,097 and 288,324 is: 624,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097 : 288,324 = 288,324 : x
  2. Step 2: Convert to fraction form
    133,097/288,324 = 288,324/x
  3. Step 3: Cross multiply
    133,097x = 288,324 × 288,324
  4. Step 4: Simplify right side
    133,097x = 83,130,728,976
  5. Step 5: Solve for x
    x = 83,130,728,976/133,097
  6. Step 6: Final answer
    x = 624,587.55

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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.