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Finding the Third Proportional to 187,965 and 287,901

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Solution

The third proportional to 187,965 and 287,901 is: 440,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,965 : 287,901 = 287,901 : x
  2. Step 2: Convert to fraction form
    187,965/287,901 = 287,901/x
  3. Step 3: Cross multiply
    187,965x = 287,901 × 287,901
  4. Step 4: Simplify right side
    187,965x = 82,886,985,801
  5. Step 5: Solve for x
    x = 82,886,985,801/187,965
  6. Step 6: Final answer
    x = 440,970.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.