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Finding the Third Proportional to 129,866 and 279,964

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Solution

The third proportional to 129,866 and 279,964 is: 603,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,866 : 279,964 = 279,964 : x
  2. Step 2: Convert to fraction form
    129,866/279,964 = 279,964/x
  3. Step 3: Cross multiply
    129,866x = 279,964 × 279,964
  4. Step 4: Simplify right side
    129,866x = 78,379,841,296
  5. Step 5: Solve for x
    x = 78,379,841,296/129,866
  6. Step 6: Final answer
    x = 603,543.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.