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Finding the Third Proportional to 116,924 and 182,230

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Solution

The third proportional to 116,924 and 182,230 is: 284,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,924 : 182,230 = 182,230 : x
  2. Step 2: Convert to fraction form
    116,924/182,230 = 182,230/x
  3. Step 3: Cross multiply
    116,924x = 182,230 × 182,230
  4. Step 4: Simplify right side
    116,924x = 33,207,772,900
  5. Step 5: Solve for x
    x = 33,207,772,900/116,924
  6. Step 6: Final answer
    x = 284,011.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.