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Finding the Third Proportional to 114,690 and 253,444

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Solution

The third proportional to 114,690 and 253,444 is: 560,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,690 : 253,444 = 253,444 : x
  2. Step 2: Convert to fraction form
    114,690/253,444 = 253,444/x
  3. Step 3: Cross multiply
    114,690x = 253,444 × 253,444
  4. Step 4: Simplify right side
    114,690x = 64,233,861,136
  5. Step 5: Solve for x
    x = 64,233,861,136/114,690
  6. Step 6: Final answer
    x = 560,065.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.