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Finding the Third Proportional to 133,050 and 288,231

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Solution

The third proportional to 133,050 and 288,231 is: 624,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 288,231 = 288,231 : x
  2. Step 2: Convert to fraction form
    133,050/288,231 = 288,231/x
  3. Step 3: Cross multiply
    133,050x = 288,231 × 288,231
  4. Step 4: Simplify right side
    133,050x = 83,077,109,361
  5. Step 5: Solve for x
    x = 83,077,109,361/133,050
  6. Step 6: Final answer
    x = 624,405.18

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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.