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Finding the Third Proportional to 133,071 and 288,295

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Solution

The third proportional to 133,071 and 288,295 is: 624,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071 : 288,295 = 288,295 : x
  2. Step 2: Convert to fraction form
    133,071/288,295 = 288,295/x
  3. Step 3: Cross multiply
    133,071x = 288,295 × 288,295
  4. Step 4: Simplify right side
    133,071x = 83,114,007,025
  5. Step 5: Solve for x
    x = 83,114,007,025/133,071
  6. Step 6: Final answer
    x = 624,583.92

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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.