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Finding the Third Proportional to 125,311.50 and 295,713

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Solution

The third proportional to 125,311.50 and 295,713 is: 697,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,311.50 : 295,713 = 295,713 : x
  2. Step 2: Convert to fraction form
    125,311.50/295,713 = 295,713/x
  3. Step 3: Cross multiply
    125,311.50x = 295,713 × 295,713
  4. Step 4: Simplify right side
    125,311.50x = 87,446,178,369
  5. Step 5: Solve for x
    x = 87,446,178,369/125,311.50
  6. Step 6: Final answer
    x = 697,830.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.