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Finding the Third Proportional to 233,912 and 361,893

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Solution

The third proportional to 233,912 and 361,893 is: 559,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,912 : 361,893 = 361,893 : x
  2. Step 2: Convert to fraction form
    233,912/361,893 = 361,893/x
  3. Step 3: Cross multiply
    233,912x = 361,893 × 361,893
  4. Step 4: Simplify right side
    233,912x = 130,966,543,449
  5. Step 5: Solve for x
    x = 130,966,543,449/233,912
  6. Step 6: Final answer
    x = 559,896.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.