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Finding the Third Proportional to 211,900.50 and 314,181

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Solution

The third proportional to 211,900.50 and 314,181 is: 465,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,900.50 : 314,181 = 314,181 : x
  2. Step 2: Convert to fraction form
    211,900.50/314,181 = 314,181/x
  3. Step 3: Cross multiply
    211,900.50x = 314,181 × 314,181
  4. Step 4: Simplify right side
    211,900.50x = 98,709,700,761
  5. Step 5: Solve for x
    x = 98,709,700,761/211,900.50
  6. Step 6: Final answer
    x = 465,830.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.