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Finding the Third Proportional to 102,004 and 220,948

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Solution

The third proportional to 102,004 and 220,948 is: 478,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004 : 220,948 = 220,948 : x
  2. Step 2: Convert to fraction form
    102,004/220,948 = 220,948/x
  3. Step 3: Cross multiply
    102,004x = 220,948 × 220,948
  4. Step 4: Simplify right side
    102,004x = 48,818,018,704
  5. Step 5: Solve for x
    x = 48,818,018,704/102,004
  6. Step 6: Final answer
    x = 478,589.26

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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.