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Finding the Third Proportional to 234,164.25 and 334,614.38

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Solution

The third proportional to 234,164.25 and 334,614.38 is: 478,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,164.25 : 334,614.38 = 334,614.38 : x
  2. Step 2: Convert to fraction form
    234,164.25/334,614.38 = 334,614.38/x
  3. Step 3: Cross multiply
    234,164.25x = 334,614.38 × 334,614.38
  4. Step 4: Simplify right side
    234,164.25x = 111,966,779,956.64
  5. Step 5: Solve for x
    x = 111,966,779,956.64/234,164.25
  6. Step 6: Final answer
    x = 478,154.88

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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.