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Finding the Third Proportional to 103,688 and 223,313

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Solution

The third proportional to 103,688 and 223,313 is: 480,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,688 : 223,313 = 223,313 : x
  2. Step 2: Convert to fraction form
    103,688/223,313 = 223,313/x
  3. Step 3: Cross multiply
    103,688x = 223,313 × 223,313
  4. Step 4: Simplify right side
    103,688x = 49,868,695,969
  5. Step 5: Solve for x
    x = 49,868,695,969/103,688
  6. Step 6: Final answer
    x = 480,949.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.