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Finding the Third Proportional to 237,073 and 363,533

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Solution

The third proportional to 237,073 and 363,533 is: 557,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,073 : 363,533 = 363,533 : x
  2. Step 2: Convert to fraction form
    237,073/363,533 = 363,533/x
  3. Step 3: Cross multiply
    237,073x = 363,533 × 363,533
  4. Step 4: Simplify right side
    237,073x = 132,156,242,089
  5. Step 5: Solve for x
    x = 132,156,242,089/237,073
  6. Step 6: Final answer
    x = 557,449.57

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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.