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Finding the Third Proportional to 106,674 and 230,424

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Solution

The third proportional to 106,674 and 230,424 is: 497,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674 : 230,424 = 230,424 : x
  2. Step 2: Convert to fraction form
    106,674/230,424 = 230,424/x
  3. Step 3: Cross multiply
    106,674x = 230,424 × 230,424
  4. Step 4: Simplify right side
    106,674x = 53,095,219,776
  5. Step 5: Solve for x
    x = 53,095,219,776/106,674
  6. Step 6: Final answer
    x = 497,733.47

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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.