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Finding the Third Proportional to 112,704 and 237,984

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Solution

The third proportional to 112,704 and 237,984 is: 502,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,704 : 237,984 = 237,984 : x
  2. Step 2: Convert to fraction form
    112,704/237,984 = 237,984/x
  3. Step 3: Cross multiply
    112,704x = 237,984 × 237,984
  4. Step 4: Simplify right side
    112,704x = 56,636,384,256
  5. Step 5: Solve for x
    x = 56,636,384,256/112,704
  6. Step 6: Final answer
    x = 502,523.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.