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Finding the Third Proportional to 197,964 and 318,735

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Solution

The third proportional to 197,964 and 318,735 is: 513,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,964 : 318,735 = 318,735 : x
  2. Step 2: Convert to fraction form
    197,964/318,735 = 318,735/x
  3. Step 3: Cross multiply
    197,964x = 318,735 × 318,735
  4. Step 4: Simplify right side
    197,964x = 101,592,000,225
  5. Step 5: Solve for x
    x = 101,592,000,225/197,964
  6. Step 6: Final answer
    x = 513,184.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.