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Finding the Third Proportional to 214,519.50 and 315,582.75

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Solution

The third proportional to 214,519.50 and 315,582.75 is: 464,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,519.50 : 315,582.75 = 315,582.75 : x
  2. Step 2: Convert to fraction form
    214,519.50/315,582.75 = 315,582.75/x
  3. Step 3: Cross multiply
    214,519.50x = 315,582.75 × 315,582.75
  4. Step 4: Simplify right side
    214,519.50x = 99,592,472,097.56
  5. Step 5: Solve for x
    x = 99,592,472,097.56/214,519.50
  6. Step 6: Final answer
    x = 464,258.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.