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Finding the Third Proportional to 134,042 and 288,676

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Solution

The third proportional to 134,042 and 288,676 is: 621,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,042 : 288,676 = 288,676 : x
  2. Step 2: Convert to fraction form
    134,042/288,676 = 288,676/x
  3. Step 3: Cross multiply
    134,042x = 288,676 × 288,676
  4. Step 4: Simplify right side
    134,042x = 83,333,832,976
  5. Step 5: Solve for x
    x = 83,333,832,976/134,042
  6. Step 6: Final answer
    x = 621,699.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.