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Finding the Third Proportional to 103,423 and 223,350

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Solution

The third proportional to 103,423 and 223,350 is: 482,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,423 : 223,350 = 223,350 : x
  2. Step 2: Convert to fraction form
    103,423/223,350 = 223,350/x
  3. Step 3: Cross multiply
    103,423x = 223,350 × 223,350
  4. Step 4: Simplify right side
    103,423x = 49,885,222,500
  5. Step 5: Solve for x
    x = 49,885,222,500/103,423
  6. Step 6: Final answer
    x = 482,341.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.