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Finding the Third Proportional to 214,089.75 and 461,065.50

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Solution

The third proportional to 214,089.75 and 461,065.50 is: 992,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,089.75 : 461,065.50 = 461,065.50 : x
  2. Step 2: Convert to fraction form
    214,089.75/461,065.50 = 461,065.50/x
  3. Step 3: Cross multiply
    214,089.75x = 461,065.50 × 461,065.50
  4. Step 4: Simplify right side
    214,089.75x = 212,581,395,290.25
  5. Step 5: Solve for x
    x = 212,581,395,290.25/214,089.75
  6. Step 6: Final answer
    x = 992,954.57

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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.