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Finding the Third Proportional to 116,571.66 and 180,008.58

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Solution

The third proportional to 116,571.66 and 180,008.58 is: 277,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,571.66 : 180,008.58 = 180,008.58 : x
  2. Step 2: Convert to fraction form
    116,571.66/180,008.58 = 180,008.58/x
  3. Step 3: Cross multiply
    116,571.66x = 180,008.58 × 180,008.58
  4. Step 4: Simplify right side
    116,571.66x = 32,403,088,198.58
  5. Step 5: Solve for x
    x = 32,403,088,198.58/116,571.66
  6. Step 6: Final answer
    x = 277,967.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.