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Finding the Third Proportional to 105,440 and 232,006

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Solution

The third proportional to 105,440 and 232,006 is: 510,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,440 : 232,006 = 232,006 : x
  2. Step 2: Convert to fraction form
    105,440/232,006 = 232,006/x
  3. Step 3: Cross multiply
    105,440x = 232,006 × 232,006
  4. Step 4: Simplify right side
    105,440x = 53,826,784,036
  5. Step 5: Solve for x
    x = 53,826,784,036/105,440
  6. Step 6: Final answer
    x = 510,496.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.