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Finding the Third Proportional to 133,035 and 288,202

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Solution

The third proportional to 133,035 and 288,202 is: 624,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035 : 288,202 = 288,202 : x
  2. Step 2: Convert to fraction form
    133,035/288,202 = 288,202/x
  3. Step 3: Cross multiply
    133,035x = 288,202 × 288,202
  4. Step 4: Simplify right side
    133,035x = 83,060,392,804
  5. Step 5: Solve for x
    x = 83,060,392,804/133,035
  6. Step 6: Final answer
    x = 624,349.93

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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.