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Finding the Third Proportional to 116,354 and 253,444

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Solution

The third proportional to 116,354 and 253,444 is: 552,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,354 : 253,444 = 253,444 : x
  2. Step 2: Convert to fraction form
    116,354/253,444 = 253,444/x
  3. Step 3: Cross multiply
    116,354x = 253,444 × 253,444
  4. Step 4: Simplify right side
    116,354x = 64,233,861,136
  5. Step 5: Solve for x
    x = 64,233,861,136/116,354
  6. Step 6: Final answer
    x = 552,055.46

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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.