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Finding the Third Proportional to 103,672 and 223,904

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Solution

The third proportional to 103,672 and 223,904 is: 483,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672 : 223,904 = 223,904 : x
  2. Step 2: Convert to fraction form
    103,672/223,904 = 223,904/x
  3. Step 3: Cross multiply
    103,672x = 223,904 × 223,904
  4. Step 4: Simplify right side
    103,672x = 50,133,001,216
  5. Step 5: Solve for x
    x = 50,133,001,216/103,672
  6. Step 6: Final answer
    x = 483,573.20

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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.