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Finding the Third Proportional to 116,580 and 180,022

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Solution

The third proportional to 116,580 and 180,022 is: 277,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,580 : 180,022 = 180,022 : x
  2. Step 2: Convert to fraction form
    116,580/180,022 = 180,022/x
  3. Step 3: Cross multiply
    116,580x = 180,022 × 180,022
  4. Step 4: Simplify right side
    116,580x = 32,407,920,484
  5. Step 5: Solve for x
    x = 32,407,920,484/116,580
  6. Step 6: Final answer
    x = 277,988.68

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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.