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Finding the Third Proportional to 107,646 and 233,436

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Solution

The third proportional to 107,646 and 233,436 is: 506,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,646 : 233,436 = 233,436 : x
  2. Step 2: Convert to fraction form
    107,646/233,436 = 233,436/x
  3. Step 3: Cross multiply
    107,646x = 233,436 × 233,436
  4. Step 4: Simplify right side
    107,646x = 54,492,366,096
  5. Step 5: Solve for x
    x = 54,492,366,096/107,646
  6. Step 6: Final answer
    x = 506,218.22

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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.