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Finding the Third Proportional to 237,093.75 and 363,534.75

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Solution

The third proportional to 237,093.75 and 363,534.75 is: 557,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,093.75 : 363,534.75 = 363,534.75 : x
  2. Step 2: Convert to fraction form
    237,093.75/363,534.75 = 363,534.75/x
  3. Step 3: Cross multiply
    237,093.75x = 363,534.75 × 363,534.75
  4. Step 4: Simplify right side
    237,093.75x = 132,157,514,457.56
  5. Step 5: Solve for x
    x = 132,157,514,457.56/237,093.75
  6. Step 6: Final answer
    x = 557,406.15

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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.