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Finding the Third Proportional to 281,575.50 and 607,161

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Solution

The third proportional to 281,575.50 and 607,161 is: 1,309,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,575.50 : 607,161 = 607,161 : x
  2. Step 2: Convert to fraction form
    281,575.50/607,161 = 607,161/x
  3. Step 3: Cross multiply
    281,575.50x = 607,161 × 607,161
  4. Step 4: Simplify right side
    281,575.50x = 368,644,479,921
  5. Step 5: Solve for x
    x = 368,644,479,921/281,575.50
  6. Step 6: Final answer
    x = 1,309,220.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.