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Finding the Third Proportional to 153,938 and 335,740

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Solution

The third proportional to 153,938 and 335,740 is: 732,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,938 : 335,740 = 335,740 : x
  2. Step 2: Convert to fraction form
    153,938/335,740 = 335,740/x
  3. Step 3: Cross multiply
    153,938x = 335,740 × 335,740
  4. Step 4: Simplify right side
    153,938x = 112,721,347,600
  5. Step 5: Solve for x
    x = 112,721,347,600/153,938
  6. Step 6: Final answer
    x = 732,251.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.