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Finding the Third Proportional to 237,090 and 363,553.50

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Solution

The third proportional to 237,090 and 363,553.50 is: 557,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,090 : 363,553.50 = 363,553.50 : x
  2. Step 2: Convert to fraction form
    237,090/363,553.50 = 363,553.50/x
  3. Step 3: Cross multiply
    237,090x = 363,553.50 × 363,553.50
  4. Step 4: Simplify right side
    237,090x = 132,171,147,362.25
  5. Step 5: Solve for x
    x = 132,171,147,362.25/237,090
  6. Step 6: Final answer
    x = 557,472.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.