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Finding the Third Proportional to 237,903 and 535,693.50

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Solution

The third proportional to 237,903 and 535,693.50 is: 1,206,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,903 : 535,693.50 = 535,693.50 : x
  2. Step 2: Convert to fraction form
    237,903/535,693.50 = 535,693.50/x
  3. Step 3: Cross multiply
    237,903x = 535,693.50 × 535,693.50
  4. Step 4: Simplify right side
    237,903x = 286,967,525,942.25
  5. Step 5: Solve for x
    x = 286,967,525,942.25/237,903
  6. Step 6: Final answer
    x = 1,206,237.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.