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Finding the Third Proportional to 207,230 and 311,614

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Solution

The third proportional to 207,230 and 311,614 is: 468,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,230 : 311,614 = 311,614 : x
  2. Step 2: Convert to fraction form
    207,230/311,614 = 311,614/x
  3. Step 3: Cross multiply
    207,230x = 311,614 × 311,614
  4. Step 4: Simplify right side
    207,230x = 97,103,284,996
  5. Step 5: Solve for x
    x = 97,103,284,996/207,230
  6. Step 6: Final answer
    x = 468,577.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.