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Finding the Third Proportional to 105,543 and 230,769

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Solution

The third proportional to 105,543 and 230,769 is: 504,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,543 : 230,769 = 230,769 : x
  2. Step 2: Convert to fraction form
    105,543/230,769 = 230,769/x
  3. Step 3: Cross multiply
    105,543x = 230,769 × 230,769
  4. Step 4: Simplify right side
    105,543x = 53,254,331,361
  5. Step 5: Solve for x
    x = 53,254,331,361/105,543
  6. Step 6: Final answer
    x = 504,574.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.