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Finding the Third Proportional to 103,024 and 217,303

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Solution

The third proportional to 103,024 and 217,303 is: 458,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,024 : 217,303 = 217,303 : x
  2. Step 2: Convert to fraction form
    103,024/217,303 = 217,303/x
  3. Step 3: Cross multiply
    103,024x = 217,303 × 217,303
  4. Step 4: Simplify right side
    103,024x = 47,220,593,809
  5. Step 5: Solve for x
    x = 47,220,593,809/103,024
  6. Step 6: Final answer
    x = 458,345.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.