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Finding the Third Proportional to 117,716 and 251,590

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Solution

The third proportional to 117,716 and 251,590 is: 537,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,716 : 251,590 = 251,590 : x
  2. Step 2: Convert to fraction form
    117,716/251,590 = 251,590/x
  3. Step 3: Cross multiply
    117,716x = 251,590 × 251,590
  4. Step 4: Simplify right side
    117,716x = 63,297,528,100
  5. Step 5: Solve for x
    x = 63,297,528,100/117,716
  6. Step 6: Final answer
    x = 537,713.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.