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Finding the Third Proportional to 239,833.50 and 346,491

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Solution

The third proportional to 239,833.50 and 346,491 is: 500,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,833.50 : 346,491 = 346,491 : x
  2. Step 2: Convert to fraction form
    239,833.50/346,491 = 346,491/x
  3. Step 3: Cross multiply
    239,833.50x = 346,491 × 346,491
  4. Step 4: Simplify right side
    239,833.50x = 120,056,013,081
  5. Step 5: Solve for x
    x = 120,056,013,081/239,833.50
  6. Step 6: Final answer
    x = 500,580.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.