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Finding the Third Proportional to 109,755 and 242,358

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Solution

The third proportional to 109,755 and 242,358 is: 535,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755 : 242,358 = 242,358 : x
  2. Step 2: Convert to fraction form
    109,755/242,358 = 242,358/x
  3. Step 3: Cross multiply
    109,755x = 242,358 × 242,358
  4. Step 4: Simplify right side
    109,755x = 58,737,400,164
  5. Step 5: Solve for x
    x = 58,737,400,164/109,755
  6. Step 6: Final answer
    x = 535,168.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.