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Finding the Third Proportional to 105,804 and 230,887

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Solution

The third proportional to 105,804 and 230,887 is: 503,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,804 : 230,887 = 230,887 : x
  2. Step 2: Convert to fraction form
    105,804/230,887 = 230,887/x
  3. Step 3: Cross multiply
    105,804x = 230,887 × 230,887
  4. Step 4: Simplify right side
    105,804x = 53,308,806,769
  5. Step 5: Solve for x
    x = 53,308,806,769/105,804
  6. Step 6: Final answer
    x = 503,844.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.