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Finding the Third Proportional to 112,704 and 243,456

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Solution

The third proportional to 112,704 and 243,456 is: 525,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,704 : 243,456 = 243,456 : x
  2. Step 2: Convert to fraction form
    112,704/243,456 = 243,456/x
  3. Step 3: Cross multiply
    112,704x = 243,456 × 243,456
  4. Step 4: Simplify right side
    112,704x = 59,270,823,936
  5. Step 5: Solve for x
    x = 59,270,823,936/112,704
  6. Step 6: Final answer
    x = 525,898.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.