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Finding the Third Proportional to 116,649 and 257,922

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Solution

The third proportional to 116,649 and 257,922 is: 570,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,649 : 257,922 = 257,922 : x
  2. Step 2: Convert to fraction form
    116,649/257,922 = 257,922/x
  3. Step 3: Cross multiply
    116,649x = 257,922 × 257,922
  4. Step 4: Simplify right side
    116,649x = 66,523,758,084
  5. Step 5: Solve for x
    x = 66,523,758,084/116,649
  6. Step 6: Final answer
    x = 570,290.00

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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.