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Finding the Third Proportional to 237,103.50 and 363,549

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Solution

The third proportional to 237,103.50 and 363,549 is: 557,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,103.50 : 363,549 = 363,549 : x
  2. Step 2: Convert to fraction form
    237,103.50/363,549 = 363,549/x
  3. Step 3: Cross multiply
    237,103.50x = 363,549 × 363,549
  4. Step 4: Simplify right side
    237,103.50x = 132,167,875,401
  5. Step 5: Solve for x
    x = 132,167,875,401/237,103.50
  6. Step 6: Final answer
    x = 557,426.93

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