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Finding the Third Proportional to 127,591.50 and 298,020

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Solution

The third proportional to 127,591.50 and 298,020 is: 696,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,591.50 : 298,020 = 298,020 : x
  2. Step 2: Convert to fraction form
    127,591.50/298,020 = 298,020/x
  3. Step 3: Cross multiply
    127,591.50x = 298,020 × 298,020
  4. Step 4: Simplify right side
    127,591.50x = 88,815,920,400
  5. Step 5: Solve for x
    x = 88,815,920,400/127,591.50
  6. Step 6: Final answer
    x = 696,095.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.