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Finding the Third Proportional to 117,400 and 253,052

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Solution

The third proportional to 117,400 and 253,052 is: 545,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,400 : 253,052 = 253,052 : x
  2. Step 2: Convert to fraction form
    117,400/253,052 = 253,052/x
  3. Step 3: Cross multiply
    117,400x = 253,052 × 253,052
  4. Step 4: Simplify right side
    117,400x = 64,035,314,704
  5. Step 5: Solve for x
    x = 64,035,314,704/117,400
  6. Step 6: Final answer
    x = 545,445.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.