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Finding the Third Proportional to 210,505.50 and 401,611.50

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Solution

The third proportional to 210,505.50 and 401,611.50 is: 766,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,505.50 : 401,611.50 = 401,611.50 : x
  2. Step 2: Convert to fraction form
    210,505.50/401,611.50 = 401,611.50/x
  3. Step 3: Cross multiply
    210,505.50x = 401,611.50 × 401,611.50
  4. Step 4: Simplify right side
    210,505.50x = 161,291,796,932.25
  5. Step 5: Solve for x
    x = 161,291,796,932.25/210,505.50
  6. Step 6: Final answer
    x = 766,211.79

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.