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Finding the Third Proportional to 116,116.50 and 179,460

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Solution

The third proportional to 116,116.50 and 179,460 is: 277,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,116.50 : 179,460 = 179,460 : x
  2. Step 2: Convert to fraction form
    116,116.50/179,460 = 179,460/x
  3. Step 3: Cross multiply
    116,116.50x = 179,460 × 179,460
  4. Step 4: Simplify right side
    116,116.50x = 32,205,891,600
  5. Step 5: Solve for x
    x = 32,205,891,600/116,116.50
  6. Step 6: Final answer
    x = 277,358.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.