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Finding the Third Proportional to 103,290 and 223,948

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Solution

The third proportional to 103,290 and 223,948 is: 485,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,290 : 223,948 = 223,948 : x
  2. Step 2: Convert to fraction form
    103,290/223,948 = 223,948/x
  3. Step 3: Cross multiply
    103,290x = 223,948 × 223,948
  4. Step 4: Simplify right side
    103,290x = 50,152,706,704
  5. Step 5: Solve for x
    x = 50,152,706,704/103,290
  6. Step 6: Final answer
    x = 485,552.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.