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Finding the Third Proportional to 116,778 and 180,637

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Solution

The third proportional to 116,778 and 180,637 is: 279,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,778 : 180,637 = 180,637 : x
  2. Step 2: Convert to fraction form
    116,778/180,637 = 180,637/x
  3. Step 3: Cross multiply
    116,778x = 180,637 × 180,637
  4. Step 4: Simplify right side
    116,778x = 32,629,725,769
  5. Step 5: Solve for x
    x = 32,629,725,769/116,778
  6. Step 6: Final answer
    x = 279,416.72

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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.