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Finding the Third Proportional to 116,158 and 163,580

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Solution

The third proportional to 116,158 and 163,580 is: 230,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,158 : 163,580 = 163,580 : x
  2. Step 2: Convert to fraction form
    116,158/163,580 = 163,580/x
  3. Step 3: Cross multiply
    116,158x = 163,580 × 163,580
  4. Step 4: Simplify right side
    116,158x = 26,758,416,400
  5. Step 5: Solve for x
    x = 26,758,416,400/116,158
  6. Step 6: Final answer
    x = 230,362.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.