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Finding the Third Proportional to 219,161 and 296,989

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Solution

The third proportional to 219,161 and 296,989 is: 402,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,161 : 296,989 = 296,989 : x
  2. Step 2: Convert to fraction form
    219,161/296,989 = 296,989/x
  3. Step 3: Cross multiply
    219,161x = 296,989 × 296,989
  4. Step 4: Simplify right side
    219,161x = 88,202,466,121
  5. Step 5: Solve for x
    x = 88,202,466,121/219,161
  6. Step 6: Final answer
    x = 402,455.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.