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Finding the Third Proportional to 177,516 and 242,525

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Solution

The third proportional to 177,516 and 242,525 is: 331,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,516 : 242,525 = 242,525 : x
  2. Step 2: Convert to fraction form
    177,516/242,525 = 242,525/x
  3. Step 3: Cross multiply
    177,516x = 242,525 × 242,525
  4. Step 4: Simplify right side
    177,516x = 58,818,375,625
  5. Step 5: Solve for x
    x = 58,818,375,625/177,516
  6. Step 6: Final answer
    x = 331,341.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.