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Finding the Third Proportional to 210,902.50 and 497,844

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Solution

The third proportional to 210,902.50 and 497,844 is: 1,175,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.50 : 497,844 = 497,844 : x
  2. Step 2: Convert to fraction form
    210,902.50/497,844 = 497,844/x
  3. Step 3: Cross multiply
    210,902.50x = 497,844 × 497,844
  4. Step 4: Simplify right side
    210,902.50x = 247,848,648,336
  5. Step 5: Solve for x
    x = 247,848,648,336/210,902.50
  6. Step 6: Final answer
    x = 1,175,181.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.