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Finding the Third Proportional to 106,674 and 233,436

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Solution

The third proportional to 106,674 and 233,436 is: 510,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674 : 233,436 = 233,436 : x
  2. Step 2: Convert to fraction form
    106,674/233,436 = 233,436/x
  3. Step 3: Cross multiply
    106,674x = 233,436 × 233,436
  4. Step 4: Simplify right side
    106,674x = 54,492,366,096
  5. Step 5: Solve for x
    x = 54,492,366,096/106,674
  6. Step 6: Final answer
    x = 510,830.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.