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Finding the Third Proportional to 230,060.25 and 501,943.50

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Solution

The third proportional to 230,060.25 and 501,943.50 is: 1,095,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,060.25 : 501,943.50 = 501,943.50 : x
  2. Step 2: Convert to fraction form
    230,060.25/501,943.50 = 501,943.50/x
  3. Step 3: Cross multiply
    230,060.25x = 501,943.50 × 501,943.50
  4. Step 4: Simplify right side
    230,060.25x = 251,947,277,192.25
  5. Step 5: Solve for x
    x = 251,947,277,192.25/230,060.25
  6. Step 6: Final answer
    x = 1,095,136.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.