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Finding the Third Proportional to 105,984 and 232,704

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Solution

The third proportional to 105,984 and 232,704 is: 510,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,984 : 232,704 = 232,704 : x
  2. Step 2: Convert to fraction form
    105,984/232,704 = 232,704/x
  3. Step 3: Cross multiply
    105,984x = 232,704 × 232,704
  4. Step 4: Simplify right side
    105,984x = 54,151,151,616
  5. Step 5: Solve for x
    x = 54,151,151,616/105,984
  6. Step 6: Final answer
    x = 510,937.04

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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.