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Finding the Third Proportional to 231,703.50 and 501,942

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Solution

The third proportional to 231,703.50 and 501,942 is: 1,087,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703.50 : 501,942 = 501,942 : x
  2. Step 2: Convert to fraction form
    231,703.50/501,942 = 501,942/x
  3. Step 3: Cross multiply
    231,703.50x = 501,942 × 501,942
  4. Step 4: Simplify right side
    231,703.50x = 251,945,771,364
  5. Step 5: Solve for x
    x = 251,945,771,364/231,703.50
  6. Step 6: Final answer
    x = 1,087,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.