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Finding the Third Proportional to 242,666.50 and 367,394

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Solution

The third proportional to 242,666.50 and 367,394 is: 556,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,666.50 : 367,394 = 367,394 : x
  2. Step 2: Convert to fraction form
    242,666.50/367,394 = 367,394/x
  3. Step 3: Cross multiply
    242,666.50x = 367,394 × 367,394
  4. Step 4: Simplify right side
    242,666.50x = 134,978,351,236
  5. Step 5: Solve for x
    x = 134,978,351,236/242,666.50
  6. Step 6: Final answer
    x = 556,229.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.