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Finding the Third Proportional to 120,964 and 262,700

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Solution

The third proportional to 120,964 and 262,700 is: 570,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,964 : 262,700 = 262,700 : x
  2. Step 2: Convert to fraction form
    120,964/262,700 = 262,700/x
  3. Step 3: Cross multiply
    120,964x = 262,700 × 262,700
  4. Step 4: Simplify right side
    120,964x = 69,011,290,000
  5. Step 5: Solve for x
    x = 69,011,290,000/120,964
  6. Step 6: Final answer
    x = 570,510.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.