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Finding the Third Proportional to 234,744 and 351,216

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Solution

The third proportional to 234,744 and 351,216 is: 525,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,744 : 351,216 = 351,216 : x
  2. Step 2: Convert to fraction form
    234,744/351,216 = 351,216/x
  3. Step 3: Cross multiply
    234,744x = 351,216 × 351,216
  4. Step 4: Simplify right side
    234,744x = 123,352,678,656
  5. Step 5: Solve for x
    x = 123,352,678,656/234,744
  6. Step 6: Final answer
    x = 525,477.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.