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Finding the Third Proportional to 116,660.25 and 180,457.88

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Solution

The third proportional to 116,660.25 and 180,457.88 is: 279,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,660.25 : 180,457.88 = 180,457.88 : x
  2. Step 2: Convert to fraction form
    116,660.25/180,457.88 = 180,457.88/x
  3. Step 3: Cross multiply
    116,660.25x = 180,457.88 × 180,457.88
  4. Step 4: Simplify right side
    116,660.25x = 32,565,044,649.52
  5. Step 5: Solve for x
    x = 32,565,044,649.52/116,660.25
  6. Step 6: Final answer
    x = 279,144.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.