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Finding the Third Proportional to 245,491.50 and 333,243

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Solution

The third proportional to 245,491.50 and 333,243 is: 452,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,491.50 : 333,243 = 333,243 : x
  2. Step 2: Convert to fraction form
    245,491.50/333,243 = 333,243/x
  3. Step 3: Cross multiply
    245,491.50x = 333,243 × 333,243
  4. Step 4: Simplify right side
    245,491.50x = 111,050,897,049
  5. Step 5: Solve for x
    x = 111,050,897,049/245,491.50
  6. Step 6: Final answer
    x = 452,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.