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Finding the Third Proportional to 238,308 and 351,914

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Solution

The third proportional to 238,308 and 351,914 is: 519,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,308 : 351,914 = 351,914 : x
  2. Step 2: Convert to fraction form
    238,308/351,914 = 351,914/x
  3. Step 3: Cross multiply
    238,308x = 351,914 × 351,914
  4. Step 4: Simplify right side
    238,308x = 123,843,463,396
  5. Step 5: Solve for x
    x = 123,843,463,396/238,308
  6. Step 6: Final answer
    x = 519,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.