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Finding the Third Proportional to 233,677.13 and 334,164.38

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Solution

The third proportional to 233,677.13 and 334,164.38 is: 477,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,677.13 : 334,164.38 = 334,164.38 : x
  2. Step 2: Convert to fraction form
    233,677.13/334,164.38 = 334,164.38/x
  3. Step 3: Cross multiply
    233,677.13x = 334,164.38 × 334,164.38
  4. Step 4: Simplify right side
    233,677.13x = 111,665,829,519.14
  5. Step 5: Solve for x
    x = 111,665,829,519.14/233,677.13
  6. Step 6: Final answer
    x = 477,863.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.