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Finding the Third Proportional to 104,056 and 224,310

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Solution

The third proportional to 104,056 and 224,310 is: 483,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,056 : 224,310 = 224,310 : x
  2. Step 2: Convert to fraction form
    104,056/224,310 = 224,310/x
  3. Step 3: Cross multiply
    104,056x = 224,310 × 224,310
  4. Step 4: Simplify right side
    104,056x = 50,314,976,100
  5. Step 5: Solve for x
    x = 50,314,976,100/104,056
  6. Step 6: Final answer
    x = 483,537.48

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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.