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Finding the Third Proportional to 133,652 and 278,362

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Solution

The third proportional to 133,652 and 278,362 is: 579,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,652 : 278,362 = 278,362 : x
  2. Step 2: Convert to fraction form
    133,652/278,362 = 278,362/x
  3. Step 3: Cross multiply
    133,652x = 278,362 × 278,362
  4. Step 4: Simplify right side
    133,652x = 77,485,403,044
  5. Step 5: Solve for x
    x = 77,485,403,044/133,652
  6. Step 6: Final answer
    x = 579,754.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.