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Finding the Third Proportional to 117,894 and 257,777

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Solution

The third proportional to 117,894 and 257,777 is: 563,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,894 : 257,777 = 257,777 : x
  2. Step 2: Convert to fraction form
    117,894/257,777 = 257,777/x
  3. Step 3: Cross multiply
    117,894x = 257,777 × 257,777
  4. Step 4: Simplify right side
    117,894x = 66,448,981,729
  5. Step 5: Solve for x
    x = 66,448,981,729/117,894
  6. Step 6: Final answer
    x = 563,633.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.