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Finding the Third Proportional to 155,270 and 233,682

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Solution

The third proportional to 155,270 and 233,682 is: 351,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,270 : 233,682 = 233,682 : x
  2. Step 2: Convert to fraction form
    155,270/233,682 = 233,682/x
  3. Step 3: Cross multiply
    155,270x = 233,682 × 233,682
  4. Step 4: Simplify right side
    155,270x = 54,607,277,124
  5. Step 5: Solve for x
    x = 54,607,277,124/155,270
  6. Step 6: Final answer
    x = 351,692.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.