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Finding the Third Proportional to 133,043 and 288,690

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Solution

The third proportional to 133,043 and 288,690 is: 626,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 288,690 = 288,690 : x
  2. Step 2: Convert to fraction form
    133,043/288,690 = 288,690/x
  3. Step 3: Cross multiply
    133,043x = 288,690 × 288,690
  4. Step 4: Simplify right side
    133,043x = 83,341,916,100
  5. Step 5: Solve for x
    x = 83,341,916,100/133,043
  6. Step 6: Final answer
    x = 626,428.42

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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.