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Finding the Third Proportional to 175,063 and 277,903

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Solution

The third proportional to 175,063 and 277,903 is: 441,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,063 : 277,903 = 277,903 : x
  2. Step 2: Convert to fraction form
    175,063/277,903 = 277,903/x
  3. Step 3: Cross multiply
    175,063x = 277,903 × 277,903
  4. Step 4: Simplify right side
    175,063x = 77,230,077,409
  5. Step 5: Solve for x
    x = 77,230,077,409/175,063
  6. Step 6: Final answer
    x = 441,155.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.