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Finding the Third Proportional to 219,116 and 330,114

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Solution

The third proportional to 219,116 and 330,114 is: 497,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,116 : 330,114 = 330,114 : x
  2. Step 2: Convert to fraction form
    219,116/330,114 = 330,114/x
  3. Step 3: Cross multiply
    219,116x = 330,114 × 330,114
  4. Step 4: Simplify right side
    219,116x = 108,975,252,996
  5. Step 5: Solve for x
    x = 108,975,252,996/219,116
  6. Step 6: Final answer
    x = 497,340.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.