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Finding the Third Proportional to 113,728 and 248,160

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Solution

The third proportional to 113,728 and 248,160 is: 541,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,728 : 248,160 = 248,160 : x
  2. Step 2: Convert to fraction form
    113,728/248,160 = 248,160/x
  3. Step 3: Cross multiply
    113,728x = 248,160 × 248,160
  4. Step 4: Simplify right side
    113,728x = 61,583,385,600
  5. Step 5: Solve for x
    x = 61,583,385,600/113,728
  6. Step 6: Final answer
    x = 541,497.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.