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Finding the Third Proportional to 133,678.50 and 297,243

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Solution

The third proportional to 133,678.50 and 297,243 is: 660,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678.50 : 297,243 = 297,243 : x
  2. Step 2: Convert to fraction form
    133,678.50/297,243 = 297,243/x
  3. Step 3: Cross multiply
    133,678.50x = 297,243 × 297,243
  4. Step 4: Simplify right side
    133,678.50x = 88,353,401,049
  5. Step 5: Solve for x
    x = 88,353,401,049/133,678.50
  6. Step 6: Final answer
    x = 660,939.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.