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Finding the Third Proportional to 119,904 and 260,964

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Solution

The third proportional to 119,904 and 260,964 is: 567,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 260,964 = 260,964 : x
  2. Step 2: Convert to fraction form
    119,904/260,964 = 260,964/x
  3. Step 3: Cross multiply
    119,904x = 260,964 × 260,964
  4. Step 4: Simplify right side
    119,904x = 68,102,209,296
  5. Step 5: Solve for x
    x = 68,102,209,296/119,904
  6. Step 6: Final answer
    x = 567,972.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.