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Finding the Third Proportional to 183,906 and 288,984

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Solution

The third proportional to 183,906 and 288,984 is: 454,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,906 : 288,984 = 288,984 : x
  2. Step 2: Convert to fraction form
    183,906/288,984 = 288,984/x
  3. Step 3: Cross multiply
    183,906x = 288,984 × 288,984
  4. Step 4: Simplify right side
    183,906x = 83,511,752,256
  5. Step 5: Solve for x
    x = 83,511,752,256/183,906
  6. Step 6: Final answer
    x = 454,100.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.