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Finding the Third Proportional to 118,234 and 251,804

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Solution

The third proportional to 118,234 and 251,804 is: 536,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234 : 251,804 = 251,804 : x
  2. Step 2: Convert to fraction form
    118,234/251,804 = 251,804/x
  3. Step 3: Cross multiply
    118,234x = 251,804 × 251,804
  4. Step 4: Simplify right side
    118,234x = 63,405,254,416
  5. Step 5: Solve for x
    x = 63,405,254,416/118,234
  6. Step 6: Final answer
    x = 536,269.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.