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Finding the Third Proportional to 281,094.75 and 431,797.50

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Solution

The third proportional to 281,094.75 and 431,797.50 is: 663,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,094.75 : 431,797.50 = 431,797.50 : x
  2. Step 2: Convert to fraction form
    281,094.75/431,797.50 = 431,797.50/x
  3. Step 3: Cross multiply
    281,094.75x = 431,797.50 × 431,797.50
  4. Step 4: Simplify right side
    281,094.75x = 186,449,081,006.25
  5. Step 5: Solve for x
    x = 186,449,081,006.25/281,094.75
  6. Step 6: Final answer
    x = 663,296.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.