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Finding the Third Proportional to 130,815.75 and 281,598

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Solution

The third proportional to 130,815.75 and 281,598 is: 606,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815.75 : 281,598 = 281,598 : x
  2. Step 2: Convert to fraction form
    130,815.75/281,598 = 281,598/x
  3. Step 3: Cross multiply
    130,815.75x = 281,598 × 281,598
  4. Step 4: Simplify right side
    130,815.75x = 79,297,433,604
  5. Step 5: Solve for x
    x = 79,297,433,604/130,815.75
  6. Step 6: Final answer
    x = 606,176.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.